메뉴 건너뛰기




Volumn , Issue , 2013, Pages 1-432

Extensions of rings and modules

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84926489936     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-387-92716-9     Document Type: Book
Times cited : (112)

References (426)
  • 2
    • 84926476263 scopus 로고    scopus 로고
    • Corrigendum 38, 4747-4748 (2010).
    • (2010) Corrigendum , vol.38 , pp. 4747-4748
  • 3
    • 84926475088 scopus 로고    scopus 로고
    • Corrigendum 41, 2005 (2010)
    • (2010) Corrigendum , vol.41 , pp. 2005
  • 4
    • 84555209336 scopus 로고    scopus 로고
    • A characterization of goldie extending modules over dedekind domain
    • Akalan, E., Birkenmeier, G.F., Tercan, A.: A characterization of Goldie extending modules over Dedekind domain. J. Algebra Appl. 10, 1291-1299 (2011)
    • (2011) J. Algebra Appl. , vol.10 , pp. 1291-1299
    • Akalan, E.1    Birkenmeier, G.F.2    Tercan, A.3
  • 5
    • 84858126735 scopus 로고    scopus 로고
    • Characterizations of extending and G-extending generalized triangular matrix rings
    • Akalan, E., Birkenmeier, G.F., Tercan, A.: Characterizations of extending and G-extending generalized triangular matrix rings. Commun. Algebra 40, 1069-1085 (2012)
    • (2012) Commun. Algebra , vol.40 , pp. 1069-1085
    • Akalan, E.1    Birkenmeier, G.F.2    Tercan, A.3
  • 8
    • 0010537899 scopus 로고    scopus 로고
    • Kasch modules
    • Jain, S.K., Rizvi, S.T. (eds.) Birkhäuser, Boston
    • Albu, T., Wisbauer, R.: Kasch modules. In: Jain, S.K., Rizvi, S.T. (eds.) Advances in Ring Theory. Trends in Math., pp. 1-16. Birkhäuser, Boston (1997)
    • (1997) Advances in Ring Theory. Trends in Math. , pp. 1-16
    • Albu, T.1    Wisbauer, R.2
  • 9
    • 0001295258 scopus 로고
    • On rings of quotients
    • Amitsur, S.A.: On rings of quotients. Symp. Math. 8, 149-164 (1972)
    • (1972) Symp. Math. , vol.8 , pp. 149-164
    • Amitsur, S.A.1
  • 11
  • 12
    • 0009114781 scopus 로고
    • Rings without nilpotent elements and completely simple ideals
    • Andrunakievic, V.A., Rjabuhin, Ju.M.: Rings without nilpotent elements and completely simple ideals. Sov. Math. Dokl. 9, 565-568 (1968)
    • (1968) Sov. Math. Dokl. , vol.9 , pp. 565-568
    • Andrunakievic, V.A.1    Rjabuhin, Ju.M.2
  • 13
    • 34250096669 scopus 로고
    • Centers of maximal quotient rings
    • Ara, P.: Centers of maximal quotient rings. Arch. Math. 50, 342-347 (1988)
    • (1988) Arch. Math. , vol.50 , pp. 342-347
    • Ara, P.1
  • 14
    • 0011281232 scopus 로고
    • ∗-algebras
    • ∗-algebras. Arch. Math. 54, 358-364 (1990)
    • (1990) Arch. Math. , vol.54 , pp. 358-364
    • Ara, P.1
  • 15
    • 84974186267 scopus 로고
    • ∗-algebra
    • ∗-algebra. Glasg. Math. J. 32, 377-379 (1990)
    • (1990) Glasg. Math. J. , vol.32 , pp. 377-379
    • Ara, P.1
  • 16
    • 51249178875 scopus 로고
    • A local version of the dauns-hofmann theorem
    • Ara, P., Mathieu, M.: A local version of the Dauns-Hofmann theorem. Math. Z. 208, 349-353 (1991)
    • (1991) Math. Z. , vol.208 , pp. 349-353
    • Ara, P.1    Mathieu, M.2
  • 18
    • 84974098113 scopus 로고
    • On the central haagerup tensor product
    • Ara, P., Mathieu, M.: On the central Haagerup tensor product. Proc. Edinb. Math. Soc. 37, 161-174 (1993)
    • (1993) Proc. Edinb. Math. Soc. , vol.37 , pp. 161-174
    • Ara, P.1    Mathieu, M.2
  • 19
    • 0004343468 scopus 로고    scopus 로고
    • Springer Monographs in Math. Springer, London
    • ∗-Algebras. Springer Monographs in Math. Springer, London (2003)
    • (2003) ∗-Algebras
    • Ara, P.1    Mathieu, M.2
  • 20
    • 0001627658 scopus 로고
    • On continuous semiprimary rings
    • Ara, P., Park, J.K.: On continuous semiprimary rings. Commun. Algebra 19, 1945-1957 (1991)
    • (1991) Commun. Algebra , vol.19 , pp. 1945-1957
    • Ara, P.1    Park, J.K.2
  • 21
    • 0039148135 scopus 로고
    • Topological representation of algebras
    • Arens, R., Kaplansky, I.: Topological representation of algebras. Trans. Am. Math. Soc. 63, 457-481 (1948)
    • (1948) Trans. Am. Math. Soc. , vol.63 , pp. 457-481
    • Arens, R.1    Kaplansky, I.2
  • 22
    • 0001304083 scopus 로고
    • A note on extensions of Baer and p.p.-rings
    • Armendariz, E.P.: A note on extensions of Baer and p.p.-rings. J. Aust. Math. Soc. 18, 470-473 (1974)
    • (1974) J. Aust. Math. Soc. , vol.18 , pp. 470-473
    • Armendariz, E.P.1
  • 23
    • 0040749485 scopus 로고
    • Rings with dcc on essential left ideals
    • Armendariz, E.P.: Rings with dcc on essential left ideals. Commun. Algebra 8, 299-308 (1980)
    • (1980) Commun. Algebra , vol.8 , pp. 299-308
    • Armendariz, E.P.1
  • 24
    • 84966257954 scopus 로고
    • On semiprime rings of bounded index
    • Armendariz, E.P.: On semiprime rings of bounded index. Proc. Am. Math. Soc. 85, 146-148 (1982)
    • (1982) Proc. Am. Math. Soc. , vol.85 , pp. 146-148
    • Armendariz, E.P.1
  • 27
    • 0001866343 scopus 로고
    • Self-injective rings with restricted chain conditions
    • Armendariz, E.P., Park, J.K.: Self-injective rings with restricted chain conditions. Arch. Math. 58, 24-33 (1992)
    • (1992) Arch. Math. , vol.58 , pp. 24-33
    • Armendariz, E.P.1    Park, J.K.2
  • 28
    • 84949702012 scopus 로고
    • Regular self-injective rings with a polynomial identity
    • Armendariz, E.P., Steinberg, S.A.: Regular self-injective rings with a polynomial identity. Trans. Am. Math. Soc. 190, 417-425 (1974)
    • (1974) Trans. Am. Math. Soc. , vol.190 , pp. 417-425
    • Armendariz, E.P.1    Steinberg, S.A.2
  • 30
    • 84926485301 scopus 로고    scopus 로고
    • Corrigendum 215, 99-100 (2011)
    • (2011) Corrigendum , vol.215 , pp. 99-100
  • 34
    • 84926485301 scopus 로고    scopus 로고
    • Corrigendum 215, 99-100 (2011)
    • (2011) Corrigendum , vol.215 , pp. 99-100
  • 35
    • 79957569286 scopus 로고    scopus 로고
    • An alternative perspective on injectivity of modules
    • Aydoʇdu, P., López-Permouth, S.R.: An alternative perspective on injectivity of modules. J. Algebra 338, 207-219 (2011)
    • (2011) J. Algebra , vol.338 , pp. 207-219
    • Aydoʇdu, P.1    López-Permouth, S.R.2
  • 36
    • 84972519658 scopus 로고
    • On maximally central algebras
    • Azumaya, G.: On maximally central algebras. Nagoya Math. J. 2, 119-150 (1951)
    • (1951) Nagoya Math. J. , vol.2 , pp. 119-150
    • Azumaya, G.1
  • 39
    • 0347651579 scopus 로고
    • Abelian groups that are direct summands of every containing abelian group
    • Baer, R.: Abelian groups that are direct summands of every containing Abelian group. Bull. Am. Math. Soc. 46, 800-806 (1940)
    • (1940) Bull. Am. Math. Soc. , vol.46 , pp. 800-806
    • Baer, R.1
  • 42
    • 84968480794 scopus 로고
    • Finitistic dimension and a homological generalization of semiprimary rings
    • Bass, H.: Finitistic dimension and a homological generalization of semiprimary rings. Trans. Am. Math. Soc. 95, 466-488 (1960)
    • (1960) Trans. Am. Math. Soc. , vol.95 , pp. 466-488
    • Bass, H.1
  • 43
    • 0034666874 scopus 로고    scopus 로고
    • Polycyclic group rings whose principal ideals are projective
    • Behn, A.: Polycyclic group rings whose principal ideals are projective. J. Algebra 232, 697-707 (2000)
    • (2000) J. Algebra , vol.232 , pp. 697-707
    • Behn, A.1
  • 44
    • 84926459756 scopus 로고
    • Rings with generalized identities I, II
    • Beidar, K.I.: Rings with generalized identities I, II. Mosc. Univ. Math. Bull. 32, 15-20; 27-33 (1977)
    • (1977) Mosc. Univ. Math. Bull. , vol.32 , Issue.15-20 , pp. 27-33
    • Beidar, K.I.1
  • 45
    • 1542403987 scopus 로고    scopus 로고
    • The structure of right continuous right π-rings
    • Beidar, K.I., Jain, S.K.: The structure of right continuous right π-rings. Commun. Algebra 32, 315-332 (2004)
    • (2004) Commun. Algebra , vol.32 , pp. 315-332
    • Beidar, K.I.1    Jain, S.K.2
  • 46
    • 0002193122 scopus 로고
    • Strongly and properly semiprime modules and rings
    • Jain, S.K., Rizvi, S.T. (eds.) World Scientific, Singapore
    • Beidar, K., Wisbauer, R.: Strongly and properly semiprime modules and rings. In: Jain, S.K., Rizvi, S.T. (eds.) Ring Theory. Proc. Ohio State-Denison Conf., pp. 58-94. World Scientific, Singapore (1993)
    • (1993) Ring Theory. Proc. Ohio State-Denison Conf. , pp. 58-94
    • Beidar, K.1    Wisbauer, R.2
  • 47
    • 21844490875 scopus 로고
    • Properly semiprime self-pp-modules
    • Beidar, K., Wisbauer, R.: Properly semiprime self-pp-modules. Commun. Algebra 23, 841-861 (1995)
    • (1995) Commun. Algebra , vol.23 , pp. 841-861
    • Beidar, K.1    Wisbauer, R.2
  • 48
    • 8344272001 scopus 로고    scopus 로고
    • Nonsingular CS-rings coincide with tight PP rings
    • Beidar, K.I., Jain, S.K., Kanwar, P.: Nonsingular CS-rings coincide with tight PP rings. J. Algebra 282, 626-637 (2004)
    • (2004) J. Algebra , vol.282 , pp. 626-637
    • Beidar, K.I.1    Jain, S.K.2    Kanwar, P.3
  • 50
    • 49049150232 scopus 로고
    • The center of a corner of a ring
    • Berberian, S.K.: The center of a corner of a ring. J. Algebra 71, 515-523 (1981)
    • (1981) J. Algebra , vol.71 , pp. 515-523
    • Berberian, S.K.1
  • 52
    • 84959834758 scopus 로고
    • Hereditary commutative rings and centres of hereditary rings
    • Bergman, G.M.: Hereditary commutative rings and centres of hereditary rings. Proc. Lond. Math. Soc. 23, 214-236 (1971)
    • (1971) Proc. Lond. Math. Soc. , vol.23 , pp. 214-236
    • Bergman, G.M.1
  • 53
    • 84936239732 scopus 로고
    • Some examples of non-compressible rings
    • Bergman, G.M.: Some examples of non-compressible rings. Commun. Algebra 12, 1-8 (1984)
    • (1984) Commun. Algebra , vol.12 , pp. 1-8
    • Bergman, G.M.1
  • 54
    • 84959744839 scopus 로고
    • Rings with fixed-point-free group actions
    • Bergman, G.M., Issacs, I.M.: Rings with fixed-point-free group actions. Proc. Lond. Math. Soc. 27, 69-87 (1973)
    • (1973) Proc. Lond. Math. Soc. , vol.27 , pp. 69-87
    • Bergman, G.M.1    Issacs, I.M.2
  • 55
  • 56
    • 46749142707 scopus 로고
    • On the cancellation of quasi-injective modules
    • Birkenmeier, G.F.: On the cancellation of quasi-injective modules. Commun. Algebra 4, 101-109 (1976)
    • (1976) Commun. Algebra , vol.4 , pp. 101-109
    • Birkenmeier, G.F.1
  • 57
    • 0010535419 scopus 로고
    • Self-injective rings and the minimal direct summand containing the nilpo-tents
    • Birkenmeier, G.F.: Self-injective rings and the minimal direct summand containing the nilpo-tents. Commun. Algebra 4, 705-721 (1976)
    • (1976) Commun. Algebra , vol.4 , pp. 705-721
    • Birkenmeier, G.F.1
  • 58
    • 84933325690 scopus 로고
    • Modules which are subisomorphic to injective modules
    • Birkenmeier, G.F.: Modules which are subisomorphic to injective modules. J. Pure Appl. Algebra 13, 169-177 (1978)
    • (1978) J. Pure Appl. Algebra , vol.13 , pp. 169-177
    • Birkenmeier, G.F.1
  • 59
    • 84966211072 scopus 로고
    • Indecomposable decompositions and the minimal direct summand containing the nilpotents
    • Birkenmeier, G.F.: Indecomposable decompositions and the minimal direct summand containing the nilpotents. Proc. Am. Math. Soc. 73, 11-14 (1979)
    • (1979) Proc. Am. Math. Soc. , vol.73 , pp. 11-14
    • Birkenmeier, G.F.1
  • 60
    • 84972526277 scopus 로고
    • Baer rings and quasi-continuous rings have a MDSN
    • Birkenmeier, G.F.: Baer rings and quasi-continuous rings have a MDSN. Pac. J. Math. 97, 283-292 (1981)
    • (1981) Pac. J. Math. , vol.97 , pp. 283-292
    • Birkenmeier, G.F.1
  • 61
    • 0000679717 scopus 로고
    • Idempotents and completely semiprime ideals
    • Birkenmeier, G.F.: Idempotents and completely semiprime ideals. Commun. Algebra 11, 567-580 (1983)
    • (1983) Commun. Algebra , vol.11 , pp. 567-580
    • Birkenmeier, G.F.1
  • 62
    • 84963451052 scopus 로고
    • A generalization of FPF rings
    • Birkenmeier, G.F.: A generalization of FPF rings. Commun. Algebra 17, 855-884 (1989)
    • (1989) Commun. Algebra , vol.17 , pp. 855-884
    • Birkenmeier, G.F.1
  • 63
    • 0001710789 scopus 로고
    • Decompositions of baer-like rings
    • Birkenmeier, G.F.: Decompositions of Baer-like rings. Acta Math. Hung. 59, 319-326 (1992)
    • (1992) Acta Math. Hung. , vol.59 , pp. 319-326
    • Birkenmeier, G.F.1
  • 64
    • 0002136597 scopus 로고
    • When does a supernilpotent radical essentially split off?
    • Birkenmeier, G.F.: When does a supernilpotent radical essentially split off? J. Algebra 172, 49-60 (1995)
    • (1995) J. Algebra , vol.172 , pp. 49-60
    • Birkenmeier, G.F.1
  • 65
    • 0035534894 scopus 로고    scopus 로고
    • Annihilator conditions on polynomials
    • Birkenmeier, G.F., Huang, F.K.: Annihilator conditions on polynomials. Commun. Algebra 29, 2097-2112 (2001)
    • (2001) Commun. Algebra , vol.29 , pp. 2097-2112
    • Birkenmeier, G.F.1    Huang, F.K.2
  • 66
    • 23044533077 scopus 로고    scopus 로고
    • Annihilator conditions on formal power series
    • Birkenmeier, G.F., Huang, F.K.: Annihilator conditions on formal power series. Algebra Colloq. 9, 29-37 (2002)
    • (2002) Algebra Colloq. , vol.9 , pp. 29-37
    • Birkenmeier, G.F.1    Huang, F.K.2
  • 67
    • 2142738809 scopus 로고    scopus 로고
    • Annihilator conditions on polynomials II
    • Birkenmeier, G.F., Huang, F.K.: Annihilator conditions on polynomials II. Monatshefte Math. 141, 265-276 (2004)
    • (2004) Monatshefte Math. , vol.141 , pp. 265-276
    • Birkenmeier, G.F.1    Huang, F.K.2
  • 68
    • 84900990954 scopus 로고    scopus 로고
    • Extending sets of idempotents to ring extensions
    • (to appear)
    • Birkenmeier, G.F., Lennon, M.J.: Extending sets of idempotents to ring extensions. Commun. Algebra (to appear)
    • Commun. Algebra
    • Birkenmeier, G.F.1    Lennon, M.J.2
  • 70
    • 0038116393 scopus 로고    scopus 로고
    • Triangular matrix representations of ring extensions
    • Birkenmeier, G.F., Park, J.K.: Triangular matrix representations of ring extensions. J. Algebra 265, 457-477 (2003)
    • (2003) J. Algebra , vol.265 , pp. 457-477
    • Birkenmeier, G.F.1    Park, J.K.2
  • 71
    • 33847625425 scopus 로고    scopus 로고
    • When some complement of a submodule is a summand
    • Birkenmeier, G.F., Tercan, A.: When some complement of a submodule is a summand. Commun. Algebra 35, 597-611 (2007)
    • (2007) Commun. Algebra , vol.35 , pp. 597-611
    • Birkenmeier, G.F.1    Tercan, A.2
  • 72
    • 85011437026 scopus 로고    scopus 로고
    • A characterization of minimal prime ideals
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: A characterization of minimal prime ideals. Glasg. Math. J. 40, 223-236 (1998)
    • (1998) Glasg. Math. J. , vol.40 , pp. 223-236
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 75
    • 0013456503 scopus 로고    scopus 로고
    • On polynomial extensions of principally quasi-baer rings
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: On polynomial extensions of principally quasi-Baer rings. Kyungpook Math. J. 40, 247-253 (2000)
    • (2000) Kyungpook Math. J. , vol.40 , pp. 247-253
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 79
    • 0002014022 scopus 로고    scopus 로고
    • On quasi-baer rings
    • Huynh, D.V., Jain, S.K., López-Permouth, S.R. (eds.) Amer. Math. Soc., Providence
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: On quasi-Baer rings. In: Huynh, D.V., Jain, S.K., López-Permouth, S.R. (eds.) Algebras and Its Applications. Contemp. Math., vol. 259, pp. 67-92. Amer. Math. Soc., Providence (2000)
    • (2000) Algebras and its Applications. Contemp. Math. , vol.259 , pp. 67-92
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 80
  • 82
    • 0035590166 scopus 로고    scopus 로고
    • Principally quasi-baer rings
    • Erratum 30, 5609 (2002)
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: Principally quasi-Baer rings. Commun. Algebra 29, 639-660 (2001). Erratum 30, 5609 (2002)
    • (2001) Commun. Algebra , vol.29 , pp. 639-660
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 86
    • 0037664719 scopus 로고    scopus 로고
    • Triangular matrix representations of semiprimary rings
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: Triangular matrix representations of semiprimary rings. J. Algebra Appl. 2, 123-131 (2002)
    • (2002) J. Algebra Appl. , vol.2 , pp. 123-131
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 87
    • 0036013573 scopus 로고    scopus 로고
    • Modules in which every fully invariant submodule is essential in a direct summand
    • Birkenmeier, G.F., Müller, B.J., Rizvi, S.T.: Modules in which every fully invariant submodule is essential in a direct summand. Commun. Algebra 30, 1395-1415 (2002)
    • (2002) Commun. Algebra , vol.30 , pp. 1395-1415
    • Birkenmeier, G.F.1    Müller, B.J.2    Rizvi, S.T.3
  • 88
    • 0036553685 scopus 로고    scopus 로고
    • Modules with fully invariant submodules essential in fully invariant summands
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Modules with fully invariant submodules essential in fully invariant summands. Commun. Algebra 30, 1833-1852 (2002)
    • (2002) Commun. Algebra , vol.30 , pp. 1833-1852
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 89
    • 0038246474 scopus 로고    scopus 로고
    • Generalized triangular matrix rings and the fully invariant extending property
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Generalized triangular matrix rings and the fully invariant extending property. Rocky Mt. J. Math. 32, 1299-1319 (2002)
    • (2002) Rocky Mt. J. Math. , vol.32 , pp. 1299-1319
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 92
    • 34249070969 scopus 로고    scopus 로고
    • An essential extension with nonisomorphic ring structures
    • Huynh, D.V., Jain, S.K., López-Permouth, S.R. (eds.) with the cooperation of P. Kanwar. Algebra and Its Applications Amer. Math. Soc., Providence
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: An essential extension with nonisomorphic ring structures. In: Huynh, D.V., Jain, S.K., López-Permouth, S.R. (eds.) with the cooperation of P. Kanwar. Algebra and Its Applications. Contemp. Math., vol. 419, pp. 29-48. Amer. Math. Soc., Providence (2006)
    • (2006) Contemp. Math. , vol.419 , pp. 29-48
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 96
    • 37249052404 scopus 로고    scopus 로고
    • An essential extension with nonisomorphic ring structures II
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: An essential extension with nonisomorphic ring structures II. Commun. Algebra 35, 3986-4004 (2007)
    • (2007) Commun. Algebra , vol.35 , pp. 3986-4004
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 98
    • 85016102667 scopus 로고    scopus 로고
    • Ring hulls of semiprime homomorphic images
    • Brzeziński, T., Gómez-Pardo, J.L., Shestakov, I., Smith, P.F. (eds.) Birkhäuser, Boston
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Ring hulls of semiprime homomorphic images. In: Brzeziński, T., Gómez-Pardo, J.L., Shestakov, I., Smith, P.F. (eds.) Modules and Comodules. Trends in Math., pp. 101-111. Birkhäuser, Boston (2008)
    • (2008) Modules and Comodules. Trends in Math. , pp. 101-111
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 100
    • 62249216412 scopus 로고    scopus 로고
    • The structure of rings of quotients
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: The structure of rings of quotients. J. Algebra 321, 2545-2566 (2009)
    • (2009) J. Algebra , vol.321 , pp. 2545-2566
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 103
    • 84926453949 scopus 로고    scopus 로고
    • An example of osofsky and essential overrings
    • Dung, N.V., Guerriero, F., Hammoudi, L., Kanwar, P. (eds.) Amer. Math. Soc., Providence
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: An example of Osofsky and essential overrings. In: Dung, N.V., Guerriero, F., Hammoudi, L., Kanwar, P. (eds.) Rings, Modules and Representations. Contemp. Math., vol. 480, pp. 13-33. Amer. Math. Soc., Providence (2009)
    • (2009) Rings, Modules and Representations. Contemp. Math. , vol.480 , pp. 13-33
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 105
    • 84975742331 scopus 로고    scopus 로고
    • Principally quasi-baer ring hulls
    • Huynh, D.V., López-Permouth, S.R. (eds.) Birkhäuser, Boston
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Principally quasi-Baer ring hulls. In: Huynh, D.V., López-Permouth, S.R. (eds.) Advances in Ring Theory. Trends in Math., pp. 47-61. Birkhäuser, Boston (2010)
    • (2010) Advances in Ring Theory. Trends in Math. , pp. 47-61
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 106
    • 84926455469 scopus 로고    scopus 로고
    • A theory of hulls for rings and modules
    • Albu, T., Birkenmeier, G.F., Erdogan, A., Tercan, A. (eds.) Birkhäuser, Boston
    • Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: A theory of hulls for rings and modules. In: Albu, T., Birkenmeier, G.F., Erdogan, A., Tercan, A. (eds.) Ring and Module Theory. Trends in Math., pp. 27-71. Birkhäuser, Boston (2010)
    • (2010) Ring and Module Theory. Trends in Math. , pp. 27-71
    • Birkenmeier, G.F.1    Park, J.K.2    Rizvi, S.T.3
  • 107
    • 79952858320 scopus 로고    scopus 로고
    • The factor ring of a quasi-baer ring by its prime radical
    • Birkenmeier, G.F., Kim, J.Y., Park, J.K.: The factor ring of a quasi-Baer ring by its prime radical. J. Algebra Appl. 10, 157-165 (2011)
    • (2011) J. Algebra Appl. , vol.10 , pp. 157-165
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 108
  • 109
    • 33745312597 scopus 로고    scopus 로고
    • Operator algebras and their modules-an operator space approach
    • Clarendon Press, Oxford
    • Blecher, D.P., Le Merdy, C.: Operator Algebras and Their Modules-An Operator Space Approach. London Math. Soc. Monograph. Clarendon Press, Oxford (2004)
    • (2004) London Math. Soc. Monograph
    • Blecher, D.P.1    Le Merdy, C.2
  • 110
    • 84968509363 scopus 로고
    • The maximal regular ideal of a ring
    • Brown, B., McCoy, N.H.: The maximal regular ideal of a ring. Proc. Am. Math. Soc. 1, 165-171 (1950)
    • (1950) Proc. Am. Math. Soc. , vol.1 , pp. 165-171
    • Brown, B.1    McCoy, N.H.2
  • 111
    • 0002051188 scopus 로고
    • The singular ideals of group rings
    • Brown, K.A.: The singular ideals of group rings. Q. J. Math. Oxf. 28, 41-60 (1977)
    • (1977) Q. J. Math. Oxf. , vol.28 , pp. 41-60
    • Brown, K.A.1
  • 112
    • 84926475927 scopus 로고    scopus 로고
    • On extensions of regular rings of finite index by central elements
    • Jain, S.K., Rizvi, S.T. (eds.) Birkhäuser, Boston
    • Burgess, W.D., Raphael, R.: On extensions of regular rings of finite index by central elements. In: Jain, S.K., Rizvi, S.T. (eds.) Advances in Ring Theory. Trends in Math., pp. 73-86. Birkhäuser, Boston (1997)
    • (1997) Advances in Ring Theory. Trends in Math. , pp. 73-86
    • Burgess, W.D.1    Raphael, R.2
  • 114
    • 0035888608 scopus 로고    scopus 로고
    • Relating properties of a ring and its ring of row and column finite matrices
    • Camillo, V.P., Costa-Cano, F.J., Simon, J.J.: Relating properties of a ring and its ring of row and column finite matrices. J. Algebra 244, 435-449 (2001)
    • (2001) J. Algebra , vol.244 , pp. 435-449
    • Camillo, V.P.1    Costa-Cano, F.J.2    Simon, J.J.3
  • 115
    • 34249078308 scopus 로고    scopus 로고
    • Non-self-injective injective hulls with compatible multiplication
    • Camillo, V.P., Herzog, I., Nielsen, P.P.: Non-self-injective injective hulls with compatible multiplication. J. Algebra 314, 471-478 (2007)
    • (2007) J. Algebra , vol.314 , pp. 471-478
    • Camillo, V.P.1    Herzog, I.2    Nielsen, P.P.3
  • 116
    • 84933806961 scopus 로고
    • Anneaux régulaiers de Baer compressibles
    • Castella, D.: Anneaux régulaiers de Baer compressibles. Commun. Algebra 15, 1621-1635 (1987)
    • (1987) Commun. Algebra , vol.15 , pp. 1621-1635
    • Castella, D.1
  • 118
    • 84968484219 scopus 로고
    • Direct products of modules
    • Chase, S.U.: Direct products of modules. Trans. Am. Math. Soc. 97, 457-473 (1960)
    • (1960) Trans. Am. Math. Soc. , vol.97 , pp. 457-473
    • Chase, S.U.1
  • 119
    • 84931907137 scopus 로고
    • A generalization of the ring of triangular matrices
    • Chase, S.U.: A generalization of the ring of triangular matrices. Nagoya Math. J. 18, 13-25 (1961)
    • (1961) Nagoya Math. J. , vol.18 , pp. 13-25
    • Chase, S.U.1
  • 120
    • 33644668056 scopus 로고
    • The restricted minimum condition in noetherian hereditary rings
    • Chatters, A.W.: The restricted minimum condition in Noetherian hereditary rings. J. Lond. Math. Soc. 4, 83-87 (1971)
    • (1971) J. Lond. Math. Soc. , vol.4 , pp. 83-87
    • Chatters, A.W.1
  • 121
    • 0010100795 scopus 로고
    • A decomposition theorem for noetherian hereditary rings
    • Chatters, A.W.: A decomposition theorem for Noetherian hereditary rings. Bull. Lond. Math. Soc. 4, 125-126 (1972)
    • (1972) Bull. Lond. Math. Soc. , vol.4 , pp. 125-126
    • Chatters, A.W.1
  • 122
    • 84891716321 scopus 로고
    • Two results on p.p. rings
    • Chatters, A.W.: Two results on p.p. rings. Commun. Algebra 4, 881-891 (1976)
    • (1976) Commun. Algebra , vol.4 , pp. 881-891
    • Chatters, A.W.1
  • 123
    • 0002429556 scopus 로고
    • Rings in which every complement right ideal is a direct summand
    • Chatters, A.W., Hajarnavis, C.R.: Rings in which every complement right ideal is a direct summand. Q. J. Math. Oxf. 28, 61-80 (1977)
    • (1977) Q. J. Math. Oxf. , vol.28 , pp. 61-80
    • Chatters, A.W.1    Hajarnavis, C.R.2
  • 125
    • 0001371052 scopus 로고
    • Endomorphism rings of modules over non-singular CS rings
    • Chatters, A.W., Khuri, S.M.: Endomorphism rings of modules over non-singular CS rings. J. Lond. Math. Soc. 21, 434-444 (1980)
    • (1980) J. Lond. Math. Soc. , vol.21 , pp. 434-444
    • Chatters, A.W.1    Khuri, S.M.2
  • 126
    • 33847383041 scopus 로고    scopus 로고
    • On modules over formal triangular matrix rings
    • Chen, J., Zhang, X.: On modules over formal triangular matrix rings. East-West J. Math. 69-77 (2001)
    • (2001) East-West J. Math. , pp. 69-77
    • Chen, J.1    Zhang, X.2
  • 128
    • 74049145746 scopus 로고    scopus 로고
    • A note on extensions of principally quasi-baer rings
    • Cheng, Y., Huang, F.K.: A note on extensions of principally quasi-Baer rings. Taiwan. J. Math. 12, 1721-1731 (2008)
    • (2008) Taiwan. J. Math. , vol.12 , pp. 1721-1731
    • Cheng, Y.1    Huang, F.K.2
  • 129
    • 84974489800 scopus 로고
    • A note on the fixed subring of an FPF ring
    • Clark, J.: A note on the fixed subring of an FPF ring. Bull. Aust. Math. Soc. 40, 109-111 (1989)
    • (1989) Bull. Aust. Math. Soc. , vol.40 , pp. 109-111
    • Clark, J.1
  • 130
    • 35349010107 scopus 로고    scopus 로고
    • Simple rings with injectivity conditions on one-sided ideals
    • Clark, J., Huynh, D.V.: Simple rings with injectivity conditions on one-sided ideals. Bull. Aust. Math. Soc. 76, 315-320 (2007)
    • (2007) Bull. Aust. Math. Soc. , vol.76 , pp. 315-320
    • Clark, J.1    Huynh, D.V.2
  • 131
    • 84972531273 scopus 로고
    • Baer rings which arise from certain transitive graphs
    • Clark, W.E.: Baer rings which arise from certain transitive graphs. Duke Math. J. 33, 647-656 (1966)
    • (1966) Duke Math. J. , vol.33 , pp. 647-656
    • Clark, W.E.1
  • 132
    • 84972492395 scopus 로고
    • Twisted matrix units semigroup algebras
    • Clark, W.E.: Twisted matrix units semigroup algebras. Duke Math. J. 34, 417-424 (1967)
    • (1967) Duke Math. J. , vol.34 , pp. 417-424
    • Clark, W.E.1
  • 133
    • 33644668155 scopus 로고
    • A morita context related to finite automorphism groups of rings
    • Cohen, M.: A Morita context related to finite automorphism groups of rings. Pac. J. Math. 98, 37-54 (1982)
    • (1982) Pac. J. Math. , vol.98 , pp. 37-54
    • Cohen, M.1
  • 135
    • 0001417449 scopus 로고
    • On the group rings
    • Connell, I.G.: On the group rings. Can. J. Math. 15, 650-685 (1963)
    • (1963) Can. J. Math. , vol.15 , pp. 650-685
    • Connell, I.G.1
  • 136
    • 45449126281 scopus 로고
    • A note on Baer rings
    • Contessa, M.: A note on Baer rings. J. Algebra 118, 20-32 (1988)
    • (1988) J. Algebra , vol.118 , pp. 20-32
    • Contessa, M.1
  • 138
    • 0004178348 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • Dauns, J.: Modules and Rings. Cambridge Univ. Press, Cambridge (1994)
    • (1994) Modules and Rings
    • Dauns, J.1
  • 139
    • 0003272374 scopus 로고
    • Representation of rings by sections
    • Amer. Math. Soc, Providence
    • Dauns, J., Hofmann, K.H.: Representation of Rings by Sections. Memoir, vol. 83. Amer. Math. Soc, Providence (1968)
    • (1968) Memoir , vol.83
    • Dauns, J.1    Hofmann, K.H.2
  • 140
    • 0003305059 scopus 로고    scopus 로고
    • ∗-algebraby example
    • Amer. Math. Soc, Providence
    • ∗-Algebraby Example. Fields Institute Monograph, vol. 6. Amer. Math. Soc, Providence (1996)
    • (1996) Fields Institute Monograph , vol.6
    • Davidson, K.R.1
  • 141
    • 0000356247 scopus 로고
    • Separable algebras over commutative rings
    • Springer, Berlin
    • DeMeyer, F., Ingraham, E.: Separable Algebras over Commutative Rings. Lecture Notes in Math., vol. 181. Springer, Berlin (1971)
    • (1971) Lecture Notes in Math. , vol.181
    • DeMeyer, F.1    Ingraham, E.2
  • 142
    • 0000442457 scopus 로고
    • Sur les anneaux fortement π-réguliers
    • Dischinger, F: Sur les anneaux fortement π-réguliers. C. R. Acad. Sci. Paris 283, 571-573 (1976)
    • (1976) C. R. Acad. Sci. Paris , vol.283 , pp. 571-573
    • Dischinger, F.1
  • 145
    • 0042328610 scopus 로고    scopus 로고
    • Weak Baer going-down rings
    • Dobbs, D.E., Picavet, G.: Weak Baer going-down rings. Houst. J. Math. 29, 559-581 (2003)
    • (2003) Houst. J. Math. , vol.29 , pp. 559-581
    • Dobbs, D.E.1    Picavet, G.2
  • 147
    • 70449466830 scopus 로고    scopus 로고
    • On minimal extensions of rings
    • Dorsey, T.J., Mesyan, Z.: On minimal extensions of rings. Commun. Algebra 37, 3463-3486 (2009)
    • (2009) Commun. Algebra , vol.37 , pp. 3463-3486
    • Dorsey, T.J.1    Mesyan, Z.2
  • 148
    • 0001607548 scopus 로고
    • Rings for which certain modules are CS
    • Dung, N.V., Smith, P.F.: Rings for which certain modules are CS. J. Pure Appl. Algebra 102, 273-287 (1995)
    • (1995) J. Pure Appl. Algebra , vol.102 , pp. 273-287
    • Dung, N.V.1    Smith, P.F.2
  • 150
    • 0002296885 scopus 로고
    • Über injektive moduln
    • Eckmann, B., Schopf, A.: Über injektive Moduln. Arch. Math. 4, 75-78 (1953)
    • (1953) Arch. Math. , vol.4 , pp. 75-78
    • Eckmann, B.1    Schopf, A.2
  • 152
    • 84972510185 scopus 로고
    • Note on p.p. rings (a supplement to Hattori's paper)
    • Endo, S.: Note on p.p. rings (a supplement to Hattori's paper). Nagoya Math. J. 17, 167-170 (1960)
    • (1960) Nagoya Math. J. , vol.17 , pp. 167-170
    • Endo, S.1
  • 153
    • 77951087902 scopus 로고    scopus 로고
    • Rings whose modules are direct sums of extending modules
    • Er, N.: Rings whose modules are direct sums of extending modules. Proc. Am. Math. Soc. 137, 2265-2271 (2009)
    • (2009) Proc. Am. Math. Soc. , vol.137 , pp. 2265-2271
    • Er, N.1
  • 154
    • 79951515657 scopus 로고    scopus 로고
    • Rings whose modules have maximal or minimal injectivity domains
    • Er, N., López-Permouth, S.R., Sökmez, N.: Rings whose modules have maximal or minimal injectivity domains. J. Algebra 330, 404-417 (2011)
    • (2011) J. Algebra , vol.330 , pp. 404-417
    • Er, N.1    López-Permouth, S.R.2    Sökmez, N.3
  • 155
    • 84972567343 scopus 로고
    • On commutative P.P. rings
    • Evans, M.W.: On commutative P.P. rings. Pac. J. Math. 41, 687-697 (1972)
    • (1972) Pac. J. Math. , vol.41 , pp. 687-697
    • Evans, M.W.1
  • 156
    • 84972534243 scopus 로고
    • Rings with ascending condition on annihilators
    • Faith, C: Rings with ascending condition on annihilators. Nagoya Math. J. 27, 179-191 (1966)
    • (1966) Nagoya Math. J. , vol.27 , pp. 179-191
    • Faith, C.1
  • 157
    • 0003245437 scopus 로고
    • Lectures on injective modules and quotient rings
    • Springer, Berlin
    • Faith, C: Lectures on Injective Modules and Quotient Rings. Lecture Notes in Math., vol. 49. Springer, Berlin (1967)
    • (1967) Lecture Notes in Math. , vol.49
    • Faith, C.1
  • 160
    • 0002101933 scopus 로고
    • Semiperfect prüfer rings and FPF rings
    • Faith, C: Semiperfect Prüfer rings and FPF rings. Isr. J. Math. 26, 166-177 (1977)
    • (1977) Isr. J. Math. , vol.26 , pp. 166-177
    • Faith, C.1
  • 161
    • 0000092550 scopus 로고
    • Injective quotient rings of commutative rings
    • Springer, Berlin
    • Faith, C: Injective quotient rings of commutative rings. In: Module Theory. Lecture Notes in Math., vol. 700, pp. 151-203. Springer, Berlin (1979)
    • (1979) Module Theory. Lecture Notes in Math. , vol.700 , pp. 151-203
    • Faith, C.1
  • 162
    • 0010603548 scopus 로고
    • The maximal regular ideal of self-injective and continuous rings splits off
    • Faith, C: The maximal regular ideal of self-injective and continuous rings splits off. Arch. Math. 44, 511-521 (1985)
    • (1985) Arch. Math. , vol.44 , pp. 511-521
    • Faith, C.1
  • 163
    • 0009311968 scopus 로고
    • Embedding torsionless modules in projectives
    • Faith, C: Embedding torsionless modules in projectives. Publ. Mat. 34, 379-387 (1990)
    • (1990) Publ. Mat. , vol.34 , pp. 379-387
    • Faith, C.1
  • 165
    • 31844440156 scopus 로고
    • Quasi-injective modules and their endomorphism rings
    • Faith, C, Utumi, Y: Quasi-injective modules and their endomorphism rings. Arch. Math. 15, 166-174 (1964)
    • (1964) Arch. Math. , vol.15 , pp. 166-174
    • Faith, C.1    Utumi, Y.2
  • 166
    • 84972503064 scopus 로고
    • Intrinsic extensions of rings
    • Faith, C, Utumi, Y: Intrinsic extensions of rings. Pac. J. Math. 14, 505-512 (1964)
    • (1964) Pac. J. Math. , vol.14 , pp. 505-512
    • Faith, C.1    Utumi, Y.2
  • 167
    • 0035534516 scopus 로고    scopus 로고
    • Closed submodules of normalizing bimodules over semiprime rings
    • Ferrero, M.: Closed submodules of normalizing bimodules over semiprime rings. Commun. Algebra 29, 1513-1550 (2001)
    • (2001) Commun. Algebra , vol.29 , pp. 1513-1550
    • Ferrero, M.1
  • 168
    • 84972561718 scopus 로고
    • On the global dimension of residue rings
    • Fields, K.L.: On the global dimension of residue rings. Pac. J. Math. 32, 345-349 (1970)
    • (1970) Pac. J. Math. , vol.32 , pp. 345-349
    • Fields, K.L.1
  • 169
    • 0040466401 scopus 로고
    • A generalized ring of quotients I
    • Findlay, G.D., Lambek, J.: A generalized ring of quotients I. Can. Math. Bull. 1, 77-85 (1958)
    • (1958) Can. Math. Bull. , vol.1 , pp. 77-85
    • Findlay, G.D.1    Lambek, J.2
  • 170
    • 0040466401 scopus 로고
    • A generalized ring of quotients II
    • Findlay, G.D., Lambek, J.: A generalized ring of quotients II. Can. Math. Bull. 1, 155-167 (1958)
    • (1958) Can. Math. Bull. , vol.1 , pp. 155-167
    • Findlay, G.D.1    Lambek, J.2
  • 171
    • 0002480894 scopus 로고
    • On the nilpotency of nil subrings
    • Fisher, J.W.: On the nilpotency of nil subrings. Can. J. Math. 22, 1211-1216 (1970)
    • (1970) Can. J. Math. , vol.22 , pp. 1211-1216
    • Fisher, J.W.1
  • 172
    • 84966256861 scopus 로고
    • Structure of semiprime P.I. rings
    • Fisher, J.W.: Structure of semiprime P.I. rings. Proc. Am. Math. Soc. 39, 465-467 (1973)
    • (1973) Proc. Am. Math. Soc. , vol.39 , pp. 465-467
    • Fisher, J.W.1
  • 173
    • 0001567927 scopus 로고
    • Semiprime skew group rings
    • Fisher, J.W., Montgomery, S.: Semiprime skew group rings. J. Algebra 52, 241-247 (1978)
    • (1978) J. Algebra , vol.52 , pp. 241-247
    • Fisher, J.W.1    Montgomery, S.2
  • 174
    • 84972556816 scopus 로고
    • On the von neumann regularity of rings with regular prime factor rings
    • Fisher, J.W., Snider, R.L.: On the von Neumann regularity of rings with regular prime factor rings. Pac. J. Math. 54, 135-144 (1974)
    • (1974) Pac. J. Math. , vol.54 , pp. 135-144
    • Fisher, J.W.1    Snider, R.L.2
  • 177
    • 30244459404 scopus 로고
    • The cancellation property for modules
    • Springer, Berlin
    • Fuchs, L.: The cancellation property for modules. In: Lecture Notes in Math., vol. 700, pp. 191-212. Springer, Berlin (1972)
    • (1972) Lecture Notes in Math. , vol.700 , pp. 191-212
    • Fuchs, L.1
  • 179
    • 84928547652 scopus 로고
    • Properties of direct summands of modules
    • Garcia, J.L.: Properties of direct summands of modules. Commun. Algebra 17, 73-92 (1989)
    • (1989) Commun. Algebra , vol.17 , pp. 73-92
    • Garcia, J.L.1
  • 181
    • 0002818063 scopus 로고
    • π-injective modules and rings whose cyclics are π-injective
    • Goel, V.K., Jain, S.K.: π-injective modules and rings whose cyclics are π-injective. Commun. Algebra 6, 59-73 (1978)
    • (1978) Commun. Algebra , vol.6 , pp. 59-73
    • Goel, V.K.1    Jain, S.K.2
  • 182
    • 84963072423 scopus 로고
    • Semi-prime rings with maximum condition
    • Goldie, A.W.: Semi-prime rings with maximum condition. Proc. Lond. Math. Soc. 3, 201-220 (1960)
    • (1960) Proc. Lond. Math. Soc. , vol.3 , pp. 201-220
    • Goldie, A.W.1
  • 183
    • 0010201139 scopus 로고
    • Prime ideals in regular self-injective rings
    • Goodearl, K.R.: Prime ideals in regular self-injective rings. Can. J. Math. 25, 829-839 (1973)
    • (1973) Can. J. Math. , vol.25 , pp. 829-839
    • Goodearl, K.R.1
  • 185
    • 84968468587 scopus 로고
    • Direct sum properties of quasi-injective modules
    • Goodearl, K.R.: Direct sum properties of quasi-injective modules. Bull. Am. Math. Soc. 82, 108-110 (1976)
    • (1976) Bull. Am. Math. Soc. , vol.82 , pp. 108-110
    • Goodearl, K.R.1
  • 186
    • 84918389070 scopus 로고
    • Simple noetherian rings - The zalesskii-neroslavskii examples
    • Handelman, D., Lawrence, J. (eds.) Waterloo Lecture Notes in Math. Springer, Berlin
    • Goodearl, K.R.: Simple Noetherian rings-the Zalesskii-Neroslavskii examples. In: Handelman, D., Lawrence, J. (eds.) Ring Theory, Waterloo, 1978. Lecture Notes in Math., vol. 734, pp. 118-130. Springer, Berlin (1979)
    • (1978) Ring Theory , vol.734 , pp. 118-130
    • Goodearl, K.R.1
  • 188
    • 0009112592 scopus 로고
    • Dimension theory for nonsingular injective modules
    • Amer. Math. Soc., Providence
    • Goodearl, K.R., Boyle, A.K.: Dimension Theory for Nonsingular Injective Modules. Memoirs, vol. 177. Amer. Math. Soc., Providence (1976)
    • (1976) Memoirs , vol.177
    • Goodearl, K.R.1    Boyle, A.K.2
  • 191
    • 0001589277 scopus 로고
    • Piecewise domains
    • Gordon, R., Small, L.W.: Piecewise domains. J. Algebra 23, 553-564 (1972)
    • (1972) J. Algebra , vol.23 , pp. 553-564
    • Gordon, R.1    Small, L.W.2
  • 192
    • 0038340462 scopus 로고
    • A note on extensions of Baer and p.p.-rings
    • Groenewald, N.J.: A note on extensions of Baer and p.p.-rings. Publ. Inst. Math. 34, 71-72 (1983)
    • (1983) Publ. Inst. Math. , vol.34 , pp. 71-72
    • Groenewald, N.J.1
  • 193
    • 0036012983 scopus 로고    scopus 로고
    • Injectivity conditions over a formal triangular matrix ring
    • Haghany, A.: Injectivity conditions over a formal triangular matrix ring. Arch. Math. 78, 268-274 (2002)
    • (2002) Arch. Math. , vol.78 , pp. 268-274
    • Haghany, A.1
  • 194
    • 0033446718 scopus 로고    scopus 로고
    • Study of formal triangular matrix rings
    • Haghany, A., Varadarajan, K.: Study of formal triangular matrix rings. Commun. Algebra 27, 5507-5525 (1999)
    • (1999) Commun. Algebra , vol.27 , pp. 5507-5525
    • Haghany, A.1    Varadarajan, K.2
  • 195
    • 0034646154 scopus 로고    scopus 로고
    • Study of modules over formal triangular matrix rings
    • Haghany, A., Varadarajan, K.: Study of modules over formal triangular matrix rings. J. Pure Appl. Algebra 147, 41-58 (2000)
    • (2000) J. Pure Appl. Algebra , vol.147 , pp. 41-58
    • Haghany, A.1    Varadarajan, K.2
  • 196
    • 0034347045 scopus 로고    scopus 로고
    • Semiprime ore extensions
    • Han, J., Hirano, Y., Kim, H.: Semiprime Ore extensions. Commun. Algebra 28, 3795-3801 (2000)
    • (2000) Commun. Algebra , vol.28 , pp. 3795-3801
    • Han, J.1    Hirano, Y.2    Kim, H.3
  • 197
    • 84926504918 scopus 로고    scopus 로고
    • Some results on skew polynomial rings over a reduced ring
    • Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) Birkhäuser, Boston
    • Han, J., Hirano, Y., Kim, H.: Some results on skew polynomial rings over a reduced ring. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) International Symposium on Ring Theory. Trends in Math., pp. 123-129. Birkhäuser, Boston (2001)
    • (2001) International Symposium on Ring Theory. Trends in Math. , pp. 123-129
    • Han, J.1    Hirano, Y.2    Kim, H.3
  • 199
    • 0001780181 scopus 로고
    • Quotient rings of semiprime rings with bounded index
    • Hannah, J.: Quotient rings of semiprime rings with bounded index. Glasg. Math. J. 23, 53-64 (1982)
    • (1982) Glasg. Math. J. , vol.23 , pp. 53-64
    • Hannah, J.1
  • 200
    • 84972527583 scopus 로고
    • Hereditary semi-primary rings and triangular matrix rings
    • Harada, M.: Hereditary semi-primary rings and triangular matrix rings. Nagoya Math. J. 27, 463-484 (1966)
    • (1966) Nagoya Math. J. , vol.27 , pp. 463-484
    • Harada, M.1
  • 201
    • 84972574734 scopus 로고
    • On the small hulls of a commutative ring
    • Harada, M.: On the small hulls of a commutative ring. Osaka J. Math. 15, 679-682 (1978)
    • (1978) Osaka J. Math. , vol.15 , pp. 679-682
    • Harada, M.1
  • 202
    • 84972584295 scopus 로고
    • On modules with extending property
    • Harada, M.: On modules with extending property. Osaka J. Math. 19, 203-215 (1982)
    • (1982) Osaka J. Math. , vol.19 , pp. 203-215
    • Harada, M.1
  • 204
    • 84972498564 scopus 로고
    • A foundation of torsion theory for modules over general rings
    • Hattori, A.: A foundation of torsion theory for modules over general rings. Nagoya Math. J. 17, 147-158 (1960)
    • (1960) Nagoya Math. J. , vol.17 , pp. 147-158
    • Hattori, A.1
  • 205
    • 84963474671 scopus 로고
    • Modules with the summand intersection property
    • Hausen, J.: Modules with the summand intersection property. Commun. Algebra 17, 135-148 (1989)
    • (1989) Commun. Algebra , vol.17 , pp. 135-148
    • Hausen, J.1
  • 206
    • 22144481382 scopus 로고    scopus 로고
    • Central and semicentral idempotents
    • Heatherly, H.E., Tucci, R.P.: Central and semicentral idempotents. Kyungpook Math. J. 40, 255-258 (2000)
    • (2000) Kyungpook Math. J. , vol.40 , pp. 255-258
    • Heatherly, H.E.1    Tucci, R.P.2
  • 207
    • 0003238245 scopus 로고
    • Noncommutative rings
    • Math. Assoc. Amer., Washington
    • Herstein, I.N.: Noncommutative Rings. Carus Math. Monograph, vol. 15. Math. Assoc. Amer., Washington (1968)
    • (1968) Carus Math. Monograph , vol.15
    • Herstein, I.N.1
  • 208
    • 84972547163 scopus 로고
    • Regular modules and V-modules
    • Hirano, Y.: Regular modules and V-modules. Hiroshima Math. J. 11, 125-142 (1981)
    • (1981) Hiroshima Math. J. , vol.11 , pp. 125-142
    • Hirano, Y.1
  • 209
    • 68649084040 scopus 로고    scopus 로고
    • Open problems
    • Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) Birkhäuser, Boston
    • Hirano, Y.: Open problems. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) International Symposium on Ring Theory. Trends in Math., pp. 441-446. Birkhäuser, Boston (2001)
    • (2001) International Symposium on Ring Theory. Trends in Math. , pp. 441-446
    • Hirano, Y.1
  • 210
    • 0035534903 scopus 로고    scopus 로고
    • On ordered monoid rings over a quasi-Baer ring
    • Hirano, Y.: On ordered monoid rings over a quasi-Baer ring. Commun. Algebra 29, 2089-2095 (2001)
    • (2001) Commun. Algebra , vol.29 , pp. 2089-2095
    • Hirano, Y.1
  • 211
    • 52649130071 scopus 로고
    • On self-injective strongly π-regular rings
    • Hirano, Y., Park, J.K.: On self-injective strongly π-regular rings. Commun. Algebra 21, 85-91 (1993)
    • (1993) Commun. Algebra , vol.21 , pp. 85-91
    • Hirano, Y.1    Park, J.K.2
  • 213
    • 84966259949 scopus 로고
    • Representations of algebras by continuous sections
    • Hofmann, K.H.: Representations of algebras by continuous sections. Bull. Am. Math. Soc. 78, 291-373 (1972)
    • (1972) Bull. Am. Math. Soc. , vol.78 , pp. 291-373
    • Hofmann, K.H.1
  • 215
    • 85011436218 scopus 로고    scopus 로고
    • Rings over which cyclics are direct sums of projective and CS or noetherian
    • Holston, C., Jain, S.K., Leroy, A.: Rings over which cyclics are direct sums of projective and CS or Noetherian. Glasg. Math. J. 52, 103-110 (2010)
    • (2010) Glasg. Math. J. , vol.52 , pp. 103-110
    • Holston, C.1    Jain, S.K.2    Leroy, A.3
  • 217
    • 34548379508 scopus 로고    scopus 로고
    • The symmetry of the CS condition on one-sided ideals in a prime ring
    • Huynh, D.V.: The symmetry of the CS condition on one-sided ideals in a prime ring. J. Pure Appl. Algebra 212, 9-13 (2008)
    • (2008) J. Pure Appl. Algebra , vol.212 , pp. 9-13
    • Huynh, D.V.1
  • 218
    • 0033633891 scopus 로고    scopus 로고
    • On some classes of artinian rings
    • Huynh, D.V., Rizvi, S.T.: On some classes of Artinian rings. J. Algebra 223, 133-153 (2000)
    • (2000) J. Algebra , vol.223 , pp. 133-153
    • Huynh, D.V.1    Rizvi, S.T.2
  • 219
    • 33746218986 scopus 로고    scopus 로고
    • Characterizing rings by a direct decomposition property of their modules
    • Huynh, D.V., Rizvi, S.T.: Characterizing rings by a direct decomposition property of their modules. J. Aust. Math. Soc. 80, 359-366 (2006)
    • (2006) J. Aust. Math. Soc. , vol.80 , pp. 359-366
    • Huynh, D.V.1    Rizvi, S.T.2
  • 220
    • 53249105740 scopus 로고    scopus 로고
    • An affirmative answer to a question on noetherian rings
    • Huynh, D.V., Rizvi, S.T.: An affirmative answer to a question on Noetherian rings. J. Algebra Appl. 7, 47-59 (2008)
    • (2008) J. Algebra Appl. , vol.7 , pp. 47-59
    • Huynh, D.V.1    Rizvi, S.T.2
  • 221
    • 0011626526 scopus 로고
    • Quasi-injective modules with acc or dcc on essential submodules
    • Huynh, D.V., Dung, N.V., Wisbauer, R.: Quasi-injective modules with acc or dcc on essential submodules. Arch. Math. 53, 252-255 (1989)
    • (1989) Arch. Math. , vol.53 , pp. 252-255
    • Huynh, D.V.1    Dung, N.V.2    Wisbauer, R.3
  • 222
    • 84974050696 scopus 로고
    • A note on GV-modules with krull dimension
    • Huynh, D.V., Smith, P.F., Wisbauer, R.: A note on GV-modules with Krull dimension. Glasg. Math. J. 32, 389-390 (1990)
    • (1990) Glasg. Math. J. , vol.32 , pp. 389-390
    • Huynh, D.V.1    Smith, P.F.2    Wisbauer, R.3
  • 223
    • 0030602960 scopus 로고    scopus 로고
    • Rings whose finitely generated modules are extending
    • Huynh, D.V., Rizvi, S.T., Yousif, M.F.: Rings whose finitely generated modules are extending. J. Pure Appl. Algebra 111, 325-328 (1996)
    • (1996) J. Pure Appl. Algebra , vol.111 , pp. 325-328
    • Huynh, D.V.1    Rizvi, S.T.2    Yousif, M.F.3
  • 224
  • 225
    • 0003302475 scopus 로고
    • Structure of rings
    • Amer. Math. Soc., Providence
    • Jacobson, N.: Structure of Rings. Amer. Math. Soc. Colloq. Publ., vol. 37. Amer. Math. Soc., Providence (1964)
    • (1964) Amer. Math. Soc. Colloq. Publ. , vol.37
    • Jacobson, N.1
  • 226
    • 34250108574 scopus 로고
    • Rings whose (proper) cyclic modules have cyclic π-injective hulls
    • Jain, S.K., Saleh, H.H.: Rings whose (proper) cyclic modules have cyclic π-injective hulls. Arch. Math. 48, 109-115 (1987)
    • (1987) Arch. Math. , vol.48 , pp. 109-115
    • Jain, S.K.1    Saleh, H.H.2
  • 228
    • 31044449213 scopus 로고
    • A characterization of uniserial rings via continuous and discrete modules
    • Jain, S.K., López-Permouth, S.R., Rizvi, S.T.: A characterization of uniserial rings via continuous and discrete modules. J. Aust. Math. Soc. 50, 197-203 (1991)
    • (1991) J. Aust. Math. Soc. , vol.50 , pp. 197-203
    • Jain, S.K.1    López-Permouth, S.R.2    Rizvi, S.T.3
  • 230
    • 0032534435 scopus 로고    scopus 로고
    • On uniform dimensions of ideals in right nonsingular rings
    • Jain, S.K., Lam, T.Y., Leroy, A.: On uniform dimensions of ideals in right nonsingular rings. J. Pure Appl. Algebra 133, 117-139 (1998)
    • (1998) J. Pure Appl. Algebra , vol.133 , pp. 117-139
    • Jain, S.K.1    Lam, T.Y.2    Leroy, A.3
  • 233
    • 0010536807 scopus 로고
    • Endomorphism rings of torsionless modules
    • Jategaonkar, A.V.: Endomorphism rings of torsionless modules. Trans. Am. Math. Soc. 161, 457-466 (1971)
    • (1971) Trans. Am. Math. Soc. , vol.161 , pp. 457-466
    • Jategaonkar, A.V.1
  • 234
    • 0001058602 scopus 로고
    • Modules et anneaux quasi-continus
    • Jeremy, L.: Modules et anneaux quasi-continus. Can. Math. Bull. 17, 217-228 (1974)
    • (1974) Can. Math. Bull. , vol.17 , pp. 217-228
    • Jeremy, L.1
  • 235
    • 49149143682 scopus 로고
    • L'arithmétique de von neumann pour les facteurs injectifs
    • Jeremy, L.: L'arithmétique de von Neumann pour les facteurs injectifs. J. Algebra 62, 154-169 (1980)
    • (1980) J. Algebra , vol.62 , pp. 154-169
    • Jeremy, L.1
  • 236
    • 33845885775 scopus 로고    scopus 로고
    • Quasi-Baer rings with essential prime radicals
    • Jin, H.L., Doh, J., Park, J.K.: Quasi-Baer rings with essential prime radicals. Commun. Algebra 34, 3537-3541 (2006)
    • (2006) Commun. Algebra , vol.34 , pp. 3537-3541
    • Jin, H.L.1    Doh, J.2    Park, J.K.3
  • 237
    • 73949112117 scopus 로고    scopus 로고
    • Group actions on quasi-Baer rings
    • Jin, H.L., Doh, J., Park, J.K.: Group actions on quasi-Baer rings. Can. Math. Bull. 52, 564-582 (2009)
    • (2009) Can. Math. Bull. , vol.52 , pp. 564-582
    • Jin, H.L.1    Doh, J.2    Park, J.K.3
  • 238
    • 84968502353 scopus 로고
    • The extended centralizer of a ring over a module
    • Johnson, R.E.: The extended centralizer of a ring over a module. Proc. Am. Math. Soc. 2, 891-895 (1951)
    • (1951) Proc. Am. Math. Soc. , vol.2 , pp. 891-895
    • Johnson, R.E.1
  • 239
    • 84968517871 scopus 로고
    • Structure theory of faithful rings I
    • Johnson, R.E.: Structure theory of faithful rings I. Trans. Am. Math. Soc. 84, 508-522 (1957)
    • (1957) Trans. Am. Math. Soc. , vol.84 , pp. 508-522
    • Johnson, R.E.1
  • 240
    • 84968480757 scopus 로고
    • Structure theory of faithful rings II, restricted rings
    • Johnson, R.E.: Structure theory of faithful rings II, restricted rings. Trans. Am. Math. Soc. 84, 523-544 (1957)
    • (1957) Trans. Am. Math. Soc. , vol.84 , pp. 523-544
    • Johnson, R.E.1
  • 241
    • 0010139043 scopus 로고
    • Quotient rings of rings with zero singular ideal
    • Johnson, R.E.: Quotient rings of rings with zero singular ideal. Pac. J. Math. 11, 1385-1395 (1961)
    • (1961) Pac. J. Math. , vol.11 , pp. 1385-1395
    • Johnson, R.E.1
  • 242
    • 84963043396 scopus 로고
    • Quasi-injective modules and irreducible rings
    • Johnson, R.E., Wong, E.T.: Quasi-injective modules and irreducible rings. J. Lond. Math. Soc. 36, 260-268 (1961)
    • (1961) J. Lond. Math. Soc. , vol.36 , pp. 260-268
    • Johnson, R.E.1    Wong, E.T.2
  • 243
    • 84968513566 scopus 로고
    • P.p. rings and finitely generated flat ideals
    • Jøndrup, S.: p.p. rings and finitely generated flat ideals. Proc. Am. Math. Soc. 28, 431-435 (1971)
    • (1971) Proc. Am. Math. Soc. , vol.28 , pp. 431-435
    • Jøndrup, S.1
  • 244
    • 4544298532 scopus 로고    scopus 로고
    • Fundamentals of the theory of operator algebras, vol. I: Elementary theory
    • Amer. Math. Soc., Providence
    • Kadison, R.V., Ringrose, J.R.: Fundamentals of the Theory of Operator Algebras, Vol. I: Elementary Theory. Graduate Studies in Math., vol. 15. Amer. Math. Soc., Providence (1997)
    • (1997) Graduate Studies in Math. , vol.15
    • Kadison, R.V.1    Ringrose, J.R.2
  • 245
    • 84972551268 scopus 로고
    • Extending modules over commutative domains
    • Kamal, M.A., Müller, B.J.: Extending modules over commutative domains. Osaka J. Math. 25, 531-538 (1988)
    • (1988) Osaka J. Math. , vol.25 , pp. 531-538
    • Kamal, M.A.1    Müller, B.J.2
  • 246
    • 84972575209 scopus 로고
    • The structure of extending modules over noetherian rings
    • Kamal, M.A., Müller, B.J.: The structure of extending modules over Noetherian rings. Osaka J. Math. 25, 539-551 (1988)
    • (1988) Osaka J. Math. , vol.25 , pp. 539-551
    • Kamal, M.A.1    Müller, B.J.2
  • 247
    • 0011694768 scopus 로고
    • Topological representation of algebra II
    • Kaplansky, I.: Topological representation of algebra II. Trans. Am. Math. Soc. 68, 62-75 (1950)
    • (1950) Trans. Am. Math. Soc. , vol.68 , pp. 62-75
    • Kaplansky, I.1
  • 248
    • 0000137775 scopus 로고
    • Projections in banach algebras
    • Kaplansky, I.: Projections in Banach algebras. Ann. Math. 53, 235-249 (1951)
    • (1951) Ann. Math. , vol.53 , pp. 235-249
    • Kaplansky, I.1
  • 249
    • 0004227477 scopus 로고
    • Univ. Chicago Mimeographed Lecture Notes (Notes by S.K. Berberian, with an Appendix by R. Blattner), Univ. Chicago
    • Kaplansky, I.: Rings of operators. Univ. Chicago Mimeographed Lecture Notes (Notes by S.K. Berberian, with an Appendix by R. Blattner), Univ. Chicago (1955)
    • (1955) Rings of Operators
    • Kaplansky, I.1
  • 253
    • 0008013422 scopus 로고
    • Algebras of invariants of free algebras
    • English Transl. 316-321 (1979)
    • Kharchenko, V.K.: Algebras of invariants of free algebras. Algebra Log. 17, 478-487 (1978). English Transl. 316-321 (1979)
    • (1978) Algebra Log. , vol.17 , pp. 478-487
    • Kharchenko, V.K.1
  • 254
    • 34748812804 scopus 로고
    • Endomorphism rings and nonsingular modules
    • Khuri, S.M.: Endomorphism rings and nonsingular modules. Ann. Sci. Math. Qué. IV, 145-152 (1980)
    • (1980) Ann. Sci. Math. Qué , vol.4 , pp. 145-152
    • Khuri, S.M.1
  • 255
    • 84971730951 scopus 로고
    • Nonsingular retractable modules and their endomorphism rings
    • Khuri, S.M.: Nonsingular retractable modules and their endomorphism rings. Bull. Aust. Math. Soc. 43, 63-71 (1991)
    • (1991) Bull. Aust. Math. Soc. , vol.43 , pp. 63-71
    • Khuri, S.M.1
  • 257
    • 1542744640 scopus 로고    scopus 로고
    • When is a regular ring a semisimple artinian ring?
    • Kim, J.Y., Park, J.K.: When is a regular ring a semisimple Artinian ring? Math. Jpn. 45, 311-313 (1997)
    • (1997) Math. Jpn. , vol.45 , pp. 311-313
    • Kim, J.Y.1    Park, J.K.2
  • 258
    • 0013349808 scopus 로고
    • Minimal prime ideals in commutative semigroups
    • Kist, J.: Minimal prime ideals in commutative semigroups. Proc. Lond. Math. Soc. 13, 31-50 (1963)
    • (1963) Proc. Lond. Math. Soc. , vol.13 , pp. 31-50
    • Kist, J.1
  • 259
    • 0001556698 scopus 로고
    • On functional representations of a ring without nilpotent elements
    • Koh, K.: On functional representations of a ring without nilpotent elements. Can. Math. Bull. 14, 349-352 (1971)
    • (1971) Can. Math. Bull. , vol.14 , pp. 349-352
    • Koh, K.1
  • 260
    • 84972581136 scopus 로고
    • On a representation of a strongly harmonic ring by sheaves
    • Koh, K.: On a representation of a strongly harmonic ring by sheaves. Pac. J. Math. 41, 459-468 (1972)
    • (1972) Pac. J. Math. , vol.41 , pp. 459-468
    • Koh, K.1
  • 261
    • 0037771185 scopus 로고
    • On the theory of abelian group of arbitrary cardinality
    • Kulikov, L.Ya.: On the theory of Abelian group of arbitrary cardinality. Mat. Sb. 9, 165-182 (1941)
    • (1941) Mat. Sb. , vol.9 , pp. 165-182
    • Kulikov, L.Ya.1
  • 262
    • 0038785677 scopus 로고
    • On the theory of abelian group of arbitrary cardinality
    • Kulikov, L.Ya.: On the theory of Abelian group of arbitrary cardinality. Mat. Sb. 16, 129-162 (1945)
    • (1945) Mat. Sb. , vol.16 , pp. 129-162
    • Kulikov, L.Ya.1
  • 265
    • 0007331689 scopus 로고    scopus 로고
    • Modules with isomorphic multiples and rings with isomorphic matrix rings-A survey
    • Univ. California, Berkeley
    • Lam, T.Y.: Modules with Isomorphic Multiples and Rings with Isomorphic Matrix Rings-A Survey. PAM, vol. 736. Univ. California, Berkeley (1998)
    • (1998) PAM , vol.736
    • Lam, T.Y.1
  • 267
    • 0000813279 scopus 로고
    • On utumi's ring of quotients
    • Lambek, J.: On Utumi's ring of quotients. Can. J. Math. 15, 363-370 (1963)
    • (1963) Can. J. Math. , vol.15 , pp. 363-370
    • Lambek, J.1
  • 269
    • 0000011227 scopus 로고
    • On the representations of modules by sheaves of factor modules
    • Lambek, J.: On the representations of modules by sheaves of factor modules. Can. Math. Bull. 14, 359-368 (1971)
    • (1971) Can. Math. Bull. , vol.14 , pp. 359-368
    • Lambek, J.1
  • 270
    • 33748035801 scopus 로고
    • On ring properties of injective hulls
    • Lang, N.C.: On ring properties of injective hulls. Can. Math. Bull. 18, 233-239 (1975)
    • (1975) Can. Math. Bull. , vol.18 , pp. 233-239
    • Lang, N.C.1
  • 271
    • 0001872773 scopus 로고
    • A singular primitive ring
    • Lawrence, J.: A singular primitive ring. Proc. Am. Math. Soc. 45, 59-62 (1974)
    • (1974) Proc. Am. Math. Soc. , vol.45 , pp. 59-62
    • Lawrence, J.1
  • 272
    • 84926485296 scopus 로고    scopus 로고
    • Doctoral Dissertation, Ohio State Univ.
    • Lee, G.: Theory of Rickart Modules. Doctoral Dissertation, Ohio State Univ. (2010)
    • (2010) Theory of Rickart Modules
    • Lee, G.1
  • 275
    • 84855964448 scopus 로고    scopus 로고
    • Direct sums of rickart modules
    • Lee, G., Rizvi, S.T., Roman, C.: Direct sums of Rickart modules. J. Algebra 353, 62-78 (2012)
    • (2012) J. Algebra , vol.353 , pp. 62-78
    • Lee, G.1    Rizvi, S.T.2    Roman, C.3
  • 276
    • 84926486248 scopus 로고    scopus 로고
    • When do the direct sums of modules inherit certain properties?
    • Kim, J.Y., Huh, C., Kwak, T.K., Lee, Y. (eds.) World Scientific, Englewood Cliffs
    • Lee, G., Rizvi, S.T., Roman, C.: When do the direct sums of modules inherit certain properties? In: Kim, J.Y., Huh, C., Kwak, T.K., Lee, Y. (eds.) Proc. 6th China-Japan-Korea International Conf. on Ring Theory, pp. 47-77. World Scientific, Englewood Cliffs (2012)
    • (2012) Proc. 6th China-Japan-Korea International Conf. on Ring Theory , pp. 47-77
    • Lee, G.1    Rizvi, S.T.2    Roman, C.3
  • 277
    • 84926485295 scopus 로고    scopus 로고
    • Modules whose endomorphism rings are von neumann regular
    • (to appear)
    • Lee, G., Rizvi, S.T., Roman, C.: Modules whose endomorphism rings are von Neumann regular. Commun. Algebra (to appear)
    • Commun. Algebra
    • Lee, G.1    Rizvi, S.T.2    Roman, C.3
  • 279
    • 67649414189 scopus 로고    scopus 로고
    • Regularity and morphic property of rings
    • Lee, T.K., Zhou, Y.: Regularity and morphic property of rings. J. Algebra 322, 1072-1085 (2009)
    • (2009) J. Algebra , vol.322 , pp. 1072-1085
    • Lee, T.K.1    Zhou, Y.2
  • 280
    • 77956392736 scopus 로고    scopus 로고
    • A characterization of von neumann regular rings and applications
    • Lee, T.K., Zhou, Y.: A characterization of von Neumann regular rings and applications. Linear Algebra Appl. 433, 1536-1540 (2010)
    • (2010) Linear Algebra Appl. , vol.433 , pp. 1536-1540
    • Lee, T.K.1    Zhou, Y.2
  • 281
    • 33748050528 scopus 로고
    • Halberbliche endomorphismenringe
    • Lenzing, H.: Halberbliche Endomorphismenringe. Math. Z. 118, 219-240 (1970)
    • (1970) Math. Z. , vol.118 , pp. 219-240
    • Lenzing, H.1
  • 283
    • 0001615916 scopus 로고
    • Torsion-free and divisible modules over non-integral-domains
    • Levy, L.: Torsion-free and divisible modules over non-integral-domains. Can. J. Math. 15, 132-151 (1963)
    • (1963) Can. J. Math. , vol.15 , pp. 132-151
    • Levy, L.1
  • 284
    • 38249021849 scopus 로고
    • Artinian rings with restricted primeness conditions
    • Li, M.S., Zelmanowitz, J.M.: Artinian rings with restricted primeness conditions. J. Algebra 124, 139-148 (1989)
    • (1989) J. Algebra , vol.124 , pp. 139-148
    • Li, M.S.1    Zelmanowitz, J.M.2
  • 285
    • 0035982310 scopus 로고    scopus 로고
    • A note on principally quasi-Baer rings
    • Liu, Z.: A note on principally quasi-Baer rings. Commun. Algebra 30, 3885-3890 (2002)
    • (2002) Commun. Algebra , vol.30 , pp. 3885-3890
    • Liu, Z.1
  • 286
    • 0036771186 scopus 로고    scopus 로고
    • Baer rings of generalized power series
    • Liu, Z.: Baer rings of generalized power series. Glasg. Math. J. 44, 463-469 (2002)
    • (2002) Glasg. Math. J. , vol.44 , pp. 463-469
    • Liu, Z.1
  • 287
    • 33747672000 scopus 로고    scopus 로고
    • A generalization of pp-rings and p.q.-Baer rings
    • Liu, Z., Zhao, R.: A generalization of pp-rings and p.q.-Baer rings. Glasg. Math. J. 48, 217-229 (2006)
    • (2006) Glasg. Math. J. , vol.48 , pp. 217-229
    • Liu, Z.1    Zhao, R.2
  • 289
    • 41549162904 scopus 로고
    • Maximal quotient rings of ring extensions
    • Louden, K.: Maximal quotient rings of ring extensions. Pac. J. Math. 62, 489-496 (1976)
    • (1976) Pac. J. Math. , vol.62 , pp. 489-496
    • Louden, K.1
  • 290
    • 0000447124 scopus 로고
    • On infinite-dimensional linear spaces
    • Mackey, G.W.: On infinite-dimensional linear spaces. Trans. Am. Math. Soc. 57, 155-207 (1945)
    • (1945) Trans. Am. Math. Soc. , vol.57 , pp. 155-207
    • Mackey, G.W.1
  • 291
    • 84857933393 scopus 로고
    • On a ring whose principal right ideals generated by idempotents form a lattice
    • Maeda, S.: On a ring whose principal right ideals generated by idempotents form a lattice. J. Sci. Hiroshima Univ. Ser. A 24, 509-525 (1960)
    • (1960) J. Sci. Hiroshima Univ. Ser. A , vol.24 , pp. 509-525
    • Maeda, S.1
  • 293
    • 77953936539 scopus 로고    scopus 로고
    • Baer endomorphism rings and envelopes
    • Mao, L.: Baer endomorphism rings and envelopes. J. Algebra Appl. 9, 365-381 (2010)
    • (2010) J. Algebra Appl. , vol.9 , pp. 365-381
    • Mao, L.1
  • 294
    • 77952915675 scopus 로고    scopus 로고
    • Properties of P-coherent and Baer modules
    • Mao, L.: Properties of P-coherent and Baer modules. Period. Math. Hung. 60, 97-114 (2010)
    • (2010) Period. Math. Hung. , vol.60 , pp. 97-114
    • Mao, L.1
  • 295
    • 0038289426 scopus 로고
    • Prime rings satisfying a generalized polynomial identity
    • Martindale, W.S. III: Prime rings satisfying a generalized polynomial identity. J. Algebra 12, 576-584 (1969)
    • (1969) J. Algebra , vol.12 , pp. 576-584
    • Martindale, W.S.1
  • 296
    • 84968498672 scopus 로고
    • On semiprime P.I. rings
    • Martindale, W.S. III: On semiprime P.I. rings. Proc. Am. Math. Soc. 40, 365-369 (1973)
    • (1973) Proc. Am. Math. Soc. , vol.40 , pp. 365-369
    • Martindale, W.S.1
  • 297
    • 84975697788 scopus 로고    scopus 로고
    • The local multiplier algebra: Blending noncommutative ring theory and functional analysis
    • Brzeziński, T., Gómez-Pardo, J.L., Shestakov, I., Smith, P.F. (eds.) Birkhäuser, Boston
    • Mathieu, M.: The local multiplier algebra: blending noncommutative ring theory and functional analysis. In: Brzeziński, T., Gómez-Pardo, J.L., Shestakov, I., Smith, P.F. (eds.) Modules and Comodules. Trends in Math., pp. 301-312. Birkhäuser, Boston (2008)
    • (2008) Modules and Comodules. Trends in Math. , pp. 301-312
    • Mathieu, M.1
  • 298
    • 84972500514 scopus 로고
    • Injective modules over noetherian rings
    • Matlis, E.: Injective modules over Noetherian rings. Pac. J. Math. 8, 511-528 (1958)
    • (1958) Pac. J. Math. , vol.8 , pp. 511-528
    • Matlis, E.1
  • 301
    • 84971145389 scopus 로고
    • Pure ring extensions and self FP-injective rings
    • Menal, P., Vamos, P.: Pure ring extensions and self FP-injective rings. Proc. Camb. Philos. Soc. 105, 447-458 (1989)
    • (1989) Proc. Camb. Philos. Soc. , vol.105 , pp. 447-458
    • Menal, P.1    Vamos, P.2
  • 302
    • 0001625266 scopus 로고
    • Regular rings and Baer rings
    • Mewborn, A.C.: Regular rings and Baer rings. Math. Z. 121, 211-219 (1971)
    • (1971) Math. Z. , vol.121 , pp. 211-219
    • Mewborn, A.C.1
  • 303
    • 0000356886 scopus 로고
    • Structure of semi-perfect hereditary noetherian rings
    • Michler, G.O.: Structure of semi-perfect hereditary Noetherian rings. J. Algebra 13, 327-344 (1969)
    • (1969) J. Algebra , vol.13 , pp. 327-344
    • Michler, G.O.1
  • 306
    • 27844444208 scopus 로고
    • Outer automorphisms of semi-prime rings
    • Montgomery, S.: Outer automorphisms of semi-prime rings. J. Lond. Math. Soc. 18, 209-220 (1978)
    • (1978) J. Lond. Math. Soc. , vol.18 , pp. 209-220
    • Montgomery, S.1
  • 309
    • 0000391578 scopus 로고
    • The quotient category of a morita context
    • Müller, B.J.: The quotient category of a Morita context. J. Algebra 28, 389-407 (1974)
    • (1974) J. Algebra , vol.28 , pp. 389-407
    • Müller, B.J.1
  • 310
    • 13844263820 scopus 로고
    • On the decomposition of continuous modules
    • Müller, B.J., Rizvi, S.T.: On the decomposition of continuous modules. Can. Math. Bull. 25, 296-301 (1982)
    • (1982) Can. Math. Bull. , vol.25 , pp. 296-301
    • Müller, B.J.1    Rizvi, S.T.2
  • 311
    • 33748071227 scopus 로고
    • On the existence of continuous hulls
    • Müller, B.J., Rizvi, S.T.: On the existence of continuous hulls. Commun. Algebra 10, 1819-1838 (1982)
    • (1982) Commun. Algebra , vol.10 , pp. 1819-1838
    • Müller, B.J.1    Rizvi, S.T.2
  • 312
    • 0000762220 scopus 로고
    • On injective and quasi-continuous modules
    • Müller, B.J., Rizvi, S.T.: On injective and quasi-continuous modules. J. Pure Appl. Algebra 28, 197-210 (1983)
    • (1983) J. Pure Appl. Algebra , vol.28 , pp. 197-210
    • Müller, B.J.1    Rizvi, S.T.2
  • 313
    • 84972582447 scopus 로고
    • Direct sums of indecomposable modules
    • Müller, B.J., Rizvi, S.T.: Direct sums of indecomposable modules. Osaka J. Math. 21, 365-374 (1984)
    • (1984) Osaka J. Math. , vol.21 , pp. 365-374
    • Müller, B.J.1    Rizvi, S.T.2
  • 316
  • 317
    • 52149101596 scopus 로고    scopus 로고
    • Baer and quasi-Baer differential polynomial rings
    • Nasr-Isfahani, A.R., Moussavi, A.: Baer and quasi-Baer differential polynomial rings. Commun. Algebra 36, 3533-3542 (2008)
    • (2008) Commun. Algebra , vol.36 , pp. 3533-3542
    • Nasr-Isfahani, A.R.1    Moussavi, A.2
  • 318
    • 0000778062 scopus 로고
    • Semiregular modules and rings
    • Nicholson, W.K.: Semiregular modules and rings. Can. J. Math. 28, 1105-1120 (1976)
    • (1976) Can. J. Math. , vol.28 , pp. 1105-1120
    • Nicholson, W.K.1
  • 319
    • 84968494975 scopus 로고
    • Lifting idempotents and exchange rings
    • Nicholson, W.K.: Lifting idempotents and exchange rings. Trans. Am. Math. Soc. 229, 269-278 (1977)
    • (1977) Trans. Am. Math. Soc. , vol.229 , pp. 269-278
    • Nicholson, W.K.1
  • 325
    • 0001158404 scopus 로고
    • Dual vector spaces
    • Ornstein, D.: Dual vector spaces. Ann. Math. 69, 520-534 (1959)
    • (1959) Ann. Math. , vol.69 , pp. 520-534
    • Ornstein, D.1
  • 326
    • 68649099276 scopus 로고
    • On torsion free modules over regular rings
    • Oshiro, K.: On torsion free modules over regular rings. Math. J. Okayama Univ. 16, 107-114 (1973)
    • (1973) Math. J. Okayama Univ. , vol.16 , pp. 107-114
    • Oshiro, K.1
  • 327
    • 68649084976 scopus 로고
    • On torsion free modules over regular rings III
    • Oshiro, K.: On torsion free modules over regular rings III. Math. J. Okayama Univ. 18, 43-56 (1975/76)
    • (1975) Math. J. Okayama Univ. , vol.18 , pp. 43-56
    • Oshiro, K.1
  • 328
    • 0000832771 scopus 로고    scopus 로고
    • The exchange property of quasi-continuous modules with finite exchange property
    • Oshiro, K., Rizvi, S.T.: The exchange property of quasi-continuous modules with finite exchange property. Osaka J. Math. 33, 217-234 (1996)
    • (1996) Osaka J. Math. , vol.33 , pp. 217-234
    • Oshiro, K.1    Rizvi, S.T.2
  • 330
    • 84968514634 scopus 로고
    • Rings all of whose finitely generated modules are injective
    • Osofsky, B.L.: Rings all of whose finitely generated modules are injective. Pac. J. Math. 14, 645-650 (1964)
    • (1964) Pac. J. Math. , vol.14 , pp. 645-650
    • Osofsky, B.L.1
  • 331
    • 34249037302 scopus 로고
    • On ring properties of injective hulls
    • Osofsky, B.L.: On ring properties of injective hulls. Can. Math. Bull. 7, 405-413 (1964)
    • (1964) Can. Math. Bull. , vol.7 , pp. 405-413
    • Osofsky, B.L.1
  • 332
    • 0000738623 scopus 로고
    • A generalization of quasi-frobenius rings
    • Erratum 9, 120 (1968)
    • Osofsky, B.L.: A generalization of quasi-Frobenius rings. J. Algebra 4, 373-387 (1966). Erratum 9, 120 (1968)
    • (1966) J. Algebra , vol.4 , pp. 373-387
    • Osofsky, B.L.1
  • 333
    • 33847661095 scopus 로고
    • A non-trivial ring with non-rational injective hull
    • Osofsky, B.L.: A non-trivial ring with non-rational injective hull. Can. Math. Bull. 10, 275-282(1967)
    • (1967) Can. Math. Bull. , vol.10 , pp. 275-282
    • Osofsky, B.L.1
  • 334
    • 0011617286 scopus 로고
    • Endomorphism rings of quasi-injective modules
    • Osofsky, B.L.: Endomorphism rings of quasi-injective modules. Can. J. Math. 20, 895-903 (1968)
    • (1968) Can. J. Math. , vol.20 , pp. 895-903
    • Osofsky, B.L.1
  • 335
    • 0002355553 scopus 로고
    • Minimal cogenerators need not be unique
    • Osofsky, B.L.: Minimal cogenerators need not be unique. Commun. Algebra 19, 2071-2080 (1991)
    • (1991) Commun. Algebra , vol.19 , pp. 2071-2080
    • Osofsky, B.L.1
  • 337
    • 0001441756 scopus 로고
    • Cyclic modules whose quotients have all complement submodules direct summands
    • Osofsky, B.L., Smith, P.F.: Cyclic modules whose quotients have all complement submodules direct summands. J. Algebra 139, 342-354 (1991)
    • (1991) J. Algebra , vol.139 , pp. 342-354
    • Osofsky, B.L.1    Smith, P.F.2
  • 338
    • 85011523918 scopus 로고    scopus 로고
    • Properties of injective hulls of a ring having a compatible ring structure
    • Osofsky, B.L., Park, J.K., Rizvi, S.T.: Properties of injective hulls of a ring having a compatible ring structure. Glasg. Math. J. 52, 121-138 (2010)
    • (2010) Glasg. Math. J. , vol.52 , pp. 121-138
    • Osofsky, B.L.1    Park, J.K.2    Rizvi, S.T.3
  • 339
    • 73949150778 scopus 로고
    • Morita contexts and quotient rings of fixed rings
    • Osterburg, J., Park, J.K.: Morita contexts and quotient rings of fixed rings. Houst. J. Math. 10, 75-80 (1984)
    • (1984) Houst. J. Math. , vol.10 , pp. 75-80
    • Osterburg, J.1    Park, J.K.2
  • 341
    • 0003388076 scopus 로고
    • On algebraically closed modules
    • Papp, Z.: On algebraically closed modules. Publ. Math. (Debr.) 6, 311-327 (1959)
    • (1959) Publ. Math. (Debr.) , vol.6 , pp. 311-327
    • Papp, Z.1
  • 342
    • 23044524456 scopus 로고    scopus 로고
    • Every E-CS-module has an indecomposable decomposition
    • Pardo, J.L.G., Asensio, P.L.G.: Every E-CS-module has an indecomposable decomposition. Proc. Am. Math. Soc. 129, 947-954 (2000)
    • (2000) Proc. Am. Math. Soc. , vol.129 , pp. 947-954
    • Pardo, J.L.G.1    Asensio, P.L.G.2
  • 344
    • 0040669100 scopus 로고
    • Nil ideals in group rings
    • Passman, D.S.: Nil ideals in group rings. Mich. Math. J. 9, 375-384 (1962)
    • (1962) Mich. Math. J. , vol.9 , pp. 375-384
    • Passman, D.S.1
  • 348
    • 0003041605 scopus 로고
    • ∗-algebras
    • ∗-algebras. Math. Z. 187, 23-24 (1984)
    • (1984) Math. Z. , vol.187 , pp. 23-24
    • Pedersen, G.K.1
  • 349
    • 0003336859 scopus 로고
    • Modules over commutative regular rings
    • Amer. Math. Soc, Providence
    • Pierce, R.S.: Modules over Commutative Regular Rings. Memoirs, vol. 70. Amer. Math. Soc, Providence (1967)
    • (1967) Memoirs , vol.70
    • Pierce, R.S.1
  • 351
    • 84972574032 scopus 로고
    • On Baer and quasi-Baer rings
    • Pollingher, A., Zaks, A.: On Baer and quasi-Baer rings. Duke Math. J. 37, 127-138 (1970)
    • (1970) Duke Math. J. , vol.37 , pp. 127-138
    • Pollingher, A.1    Zaks, A.2
  • 352
    • 84968510915 scopus 로고
    • Prime rings satisfying a polynomial identity
    • Posner, E.C.: Prime rings satisfying a polynomial identity. Proc. Am. Math. Soc. 11, 180-183 (1960)
    • (1960) Proc. Am. Math. Soc. , vol.11 , pp. 180-183
    • Posner, E.C.1
  • 353
    • 6944238571 scopus 로고
    • Representing Baer rings as endomorphism rings
    • Rangaswamy, K.M.: Representing Baer rings as endomorphism rings. Math. Ann. 190, 167-176 (1970)
    • (1970) Math. Ann. , vol.190 , pp. 167-176
    • Rangaswamy, K.M.1
  • 354
  • 355
    • 0010098287 scopus 로고    scopus 로고
    • The epimorphic hull of C(X)
    • Raphael, R.M., Woods, R.G.: The epimorphic hull of C(X). Topol. Appl. 105, 65-88 (2000)
    • (2000) Topol. Appl. , vol.105 , pp. 65-88
    • Raphael, R.M.1    Woods, R.G.2
  • 356
  • 357
    • 0000436497 scopus 로고
    • Banach algebras with an adjoint operation
    • Rickart, C.E.: Banach algebras with an adjoint operation. Ann. Math. 47, 528-550 (1946)
    • (1946) Ann. Math. , vol.47 , pp. 528-550
    • Rickart, C.E.1
  • 359
    • 10044268086 scopus 로고
    • Commutative rings for which every continuous module is quasi-injective
    • Rizvi, S.T.: Commutative rings for which every continuous module is quasi-injective. Arch. Math. 50, 435-442 (1988)
    • (1988) Arch. Math. , vol.50 , pp. 435-442
    • Rizvi, S.T.1
  • 360
    • 68649084040 scopus 로고    scopus 로고
    • Open problems
    • Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) Birkhäuser, Boston
    • Rizvi, S.T.: Open problems. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds.) International Symposium on Ring Theory. Trends in Math., pp. 441-446. Birkhäuser, Boston (2001)
    • (2001) International Symposium on Ring Theory. Trends in Math. , pp. 441-446
    • Rizvi, S.T.1
  • 361
    • 1542403992 scopus 로고    scopus 로고
    • Baer and quasi-Baer modules
    • Rizvi, S.T., Roman, C.S.: Baer and quasi-Baer modules. Commun. Algebra 32, 103-123 (2004)
    • (2004) Commun. Algebra , vol.32 , pp. 103-123
    • Rizvi, S.T.1    Roman, C.S.2
  • 362
    • 34748833199 scopus 로고    scopus 로고
    • Baer property of modules and applications
    • Chen, J.L., Ding, N.Q., Marubayashi, H. (eds.) World Scientific, Englewood Cliffs
    • Rizvi, S.T., Roman, C.S.: Baer property of modules and applications. In: Chen, J.L., Ding, N.Q., Marubayashi, H. (eds.) Advances in Ring Theory. Proc. of 4th China-Japan-Korea International Conference, pp. 225-241. World Scientific, Englewood Cliffs (2005)
    • (2005) Advances in Ring Theory. Proc. of 4th China-Japan-Korea International Conference , pp. 225-241
    • Rizvi, S.T.1    Roman, C.S.2
  • 363
    • 34748898965 scopus 로고    scopus 로고
    • On K-nonsingular modules and applications
    • Rizvi, S.T., Roman, C.S.: On K-nonsingular modules and applications. Commun. Algebra 35, 2960-2982 (2007)
    • (2007) Commun. Algebra , vol.35 , pp. 2960-2982
    • Rizvi, S.T.1    Roman, C.S.2
  • 364
    • 57349125688 scopus 로고    scopus 로고
    • On direct sums of Baer modules
    • Rizvi, S.T., Roman, C.S.: On direct sums of Baer modules. J. Algebra 321, 682-696 (2009)
    • (2009) J. Algebra , vol.321 , pp. 682-696
    • Rizvi, S.T.1    Roman, C.S.2
  • 368
    • 84968501373 scopus 로고
    • Some results on the center of a ring with polynomial identity
    • Rowen, L.H.: Some results on the center of a ring with polynomial identity. Bull. Am. Math. Soc. 79, 219-223 (1973)
    • (1973) Bull. Am. Math. Soc. , vol.79 , pp. 219-223
    • Rowen, L.H.1
  • 369
    • 84968488094 scopus 로고
    • Maximal quotients of semiprime PI-algebras
    • Rowen, L.H.: Maximal quotients of semiprime PI-algebras. Trans. Am. Math. Soc. 196, 127-135 (1974)
    • (1974) Trans. Am. Math. Soc. , vol.196 , pp. 127-135
    • Rowen, L.H.1
  • 371
    • 0040740918 scopus 로고
    • Maximal quotient rings of generalized matrix rings
    • Sakano, K.: Maximal quotient rings of generalized matrix rings. Commun. Algebra 12, 2055-2065 (1984)
    • (1984) Commun. Algebra , vol.12 , pp. 2055-2065
    • Sakano, K.1
  • 372
    • 0002945727 scopus 로고
    • Inverses and zero divisors in matrix rings
    • Shepherdson, J.C.: Inverses and zero divisors in matrix rings. Proc. Lond. Math. Soc. 1, 71-85 (1951)
    • (1951) Proc. Lond. Math. Soc. , vol.1 , pp. 71-85
    • Shepherdson, J.C.1
  • 373
    • 84966235960 scopus 로고
    • Prime ideals and sheaf representation of a pseudo symmetric ring
    • Shin, G.: Prime ideals and sheaf representation of a pseudo symmetric ring. Trans. Am. Math. Soc. 184, 43-60 (1973)
    • (1973) Trans. Am. Math. Soc. , vol.184 , pp. 43-60
    • Shin, G.1
  • 374
    • 84972550190 scopus 로고
    • Zur Theorie der algebraischen Erweiterungen
    • Shoda, K.: Zur Theorie der algebraischen Erweiterungen. Osaka Math. J. 4, 133-143 (1952)
    • (1952) Osaka Math. J. , vol.4 , pp. 133-143
    • Shoda, K.1
  • 375
    • 0006705689 scopus 로고    scopus 로고
    • Finitely generated projective modules over row and column finite matrix rings
    • Simón, J.J.: Finitely generated projective modules over row and column finite matrix rings. J. Algebra 208, 165-184 (1998)
    • (1998) J. Algebra , vol.208 , pp. 165-184
    • Simón, J.J.1
  • 376
    • 0000876498 scopus 로고
    • Semihereditary rings
    • Small, L.W.: Semihereditary rings. Bull. Am. Math. Soc. 73, 656-658 (1967)
    • (1967) Bull. Am. Math. Soc. , vol.73 , pp. 656-658
    • Small, L.W.1
  • 377
    • 0037664723 scopus 로고
    • Group algebras
    • Smith, M.K.: Group algebras. J. Algebra 18, 477-499 (1971)
    • (1971) J. Algebra , vol.18 , pp. 477-499
    • Smith, M.K.1
  • 378
    • 0002188334 scopus 로고
    • Modules for which every submodule has a unique closure
    • Jain, S.K., Rizvi, T.S. (eds.) World Scientific, Singapore
    • Smith, P.F.: Modules for which every submodule has a unique closure. In: Jain, S.K., Rizvi, T.S. (eds.) Ring Theory, pp. 302-313. World Scientific, Singapore (1993)
    • (1993) Ring Theory , pp. 302-313
    • Smith, P.F.1
  • 379
    • 0002561098 scopus 로고
    • Continuous and quasi-continuous modules
    • Smith, P.F., Tercan, A.: Continuous and quasi-continuous modules. Houst. J. Math. 18, 339-348 (1992)
    • (1992) Houst. J. Math. , vol.18 , pp. 339-348
    • Smith, P.F.1    Tercan, A.2
  • 380
    • 21144468684 scopus 로고
    • Generalizations of CS-modules
    • Smith, P.F., Tercan, A.: Generalizations of CS-modules. Commun. Algebra 21, 1809-1847 (1993)
    • (1993) Commun. Algebra , vol.21 , pp. 1809-1847
    • Smith, P.F.1    Tercan, A.2
  • 383
    • 33749993941 scopus 로고
    • A note on commutative Baer rings II
    • Speed, T.P.: A note on commutative Baer rings II. J. Aust. Math. Soc. 14, 257-263 (1972)
    • (1972) J. Aust. Math. Soc. , vol.14 , pp. 257-263
    • Speed, T.P.1
  • 384
    • 26444568943 scopus 로고
    • A note on commutative Baer rings III
    • Speed, T.P.: A note on commutative Baer rings III. J. Aust. Math. Soc. 15, 15-21 (1973)
    • (1973) J. Aust. Math. Soc. , vol.15 , pp. 15-21
    • Speed, T.P.1
  • 385
  • 387
    • 0040075663 scopus 로고
    • Rings of endomorphisms of projective modules
    • Stephenson, B.W., Tsukerman, G.M.: Rings of endomorphisms of projective modules. Sib. Math. J. 11, 181-184 (1970)
    • (1970) Sib. Math. J. , vol.11 , pp. 181-184
    • Stephenson, B.W.1    Tsukerman, G.M.2
  • 388
    • 84972562024 scopus 로고
    • Semi-simple radical classes
    • Stewart, P.N.: Semi-simple radical classes. Pac. J. Math. 32, 249-255 (1970)
    • (1970) Pac. J. Math. , vol.32 , pp. 249-255
    • Stewart, P.N.1
  • 389
    • 84968483087 scopus 로고
    • Applications of the theory of Boolean rings to general topology
    • Stone, M.H.: Applications of the theory of Boolean rings to general topology. Trans. Am. Math. Soc. 41, 375-481 (1937)
    • (1937) Trans. Am. Math. Soc. , vol.41 , pp. 375-481
    • Stone, M.H.1
  • 390
    • 51249191989 scopus 로고
    • Epimorphismen von kommutativen ringen
    • Storrer, H.: Epimorphismen von kommutativen Ringen. Comment. Math. Helv. 43, 378-401 (1968)
    • (1968) Comment. Math. Helv. , vol.43 , pp. 378-401
    • Storrer, H.1
  • 391
    • 0000597758 scopus 로고
    • Duality on compact prime ringed spaces
    • Sun, S.H.: Duality on compact prime ringed spaces. J. Algebra 169, 805-816 (1994)
    • (1994) J. Algebra , vol.169 , pp. 805-816
    • Sun, S.H.1
  • 392
    • 21344490854 scopus 로고
    • A unification of some sheaf representations of rings by quotient rings
    • Sun, S.H.: A unification of some sheaf representations of rings by quotient rings. Commun. Algebra 22, 687-696 (1994)
    • (1994) Commun. Algebra , vol.22 , pp. 687-696
    • Sun, S.H.1
  • 393
    • 53149092758 scopus 로고
    • On automorphisms of an injective module
    • Suzuki, Y.: On automorphisms of an injective module. Proc. Jpn. Acad. 44, 120-124 (1968)
    • (1968) Proc. Jpn. Acad. , vol.44 , pp. 120-124
    • Suzuki, Y.1
  • 394
    • 60649118367 scopus 로고    scopus 로고
    • Modules whose submodules are essentially embedded in direct sum-mands
    • Takil, F., Tercan, A.: Modules whose submodules are essentially embedded in direct sum-mands. Commun. Algebra 37, 460-469 (2009)
    • (2009) Commun. Algebra , vol.37 , pp. 460-469
    • Takil, F.1    Tercan, A.2
  • 395
    • 0242286972 scopus 로고    scopus 로고
    • Right hereditary, right perfect rings are semiprimary
    • Jain, S.K., Rizvi, S.T. (eds.) Birkhäuser, Boston
    • Teply, M.L.: Right hereditary, right perfect rings are semiprimary. In: Jain, S.K., Rizvi, S.T. (eds.) Advances in Ring Theory. Trends in Math., pp. 313-316. Birkhäuser, Boston (1997)
    • (1997) Advances in Ring Theory. Trends in Math. , pp. 313-316
    • Teply, M.L.1
  • 397
    • 84972948105 scopus 로고
    • On certain CS-rings
    • Tercan, A.: On certain CS-rings. Commun. Algebra 23, 405-419 (1995)
    • (1995) Commun. Algebra , vol.23 , pp. 405-419
    • Tercan, A.1
  • 398
  • 399
    • 84972573739 scopus 로고
    • On quotient rings
    • Utumi, Y.: On quotient rings. Osaka Math. J. 8, 1-18 (1956)
    • (1956) Osaka Math. J. , vol.8 , pp. 1-18
    • Utumi, Y.1
  • 400
    • 84863391172 scopus 로고
    • On a theorem on modular lattice
    • Utumi, Y.: On a theorem on modular lattice. Proc. Jpn. Acad. 35, 16-21 (1959)
    • (1959) Proc. Jpn. Acad. , vol.35 , pp. 16-21
    • Utumi, Y.1
  • 401
    • 33748048237 scopus 로고
    • On continuous regular rings and semisimple self injective rings
    • Utumi, Y.: On continuous regular rings and semisimple self injective rings. Can. J. Math. 12, 597-605 (1960)
    • (1960) Can. J. Math. , vol.12 , pp. 597-605
    • Utumi, Y.1
  • 402
    • 84968492755 scopus 로고
    • On continuous rings and self injective rings
    • Utumi, Y.: On continuous rings and self injective rings. Trans. Am. Math. Soc. 118, 158-173 (1965)
    • (1965) Trans. Am. Math. Soc. , vol.118 , pp. 158-173
    • Utumi, Y.1
  • 403
    • 0002875456 scopus 로고
    • Self-injective rings
    • Utumi, Y.: Self-injective rings. J. Algebra 6, 56-64 (1967)
    • (1967) J. Algebra , vol.6 , pp. 56-64
    • Utumi, Y.1
  • 404
    • 0000376670 scopus 로고
    • Characterisations of generalised uniserial rings in terms of factor rings
    • Vanaja, N., Purav, V.M.: Characterisations of generalised uniserial rings in terms of factor rings. Commun. Algebra 20, 2253-2270 (1992)
    • (1992) Commun. Algebra , vol.20 , pp. 2253-2270
    • Vanaja, N.1    Purav, V.M.2
  • 405
    • 19544392293 scopus 로고    scopus 로고
    • ∗-rings
    • ∗-rings. J. Algebra 289, 614-639 (2005)
    • (2005) J. Algebra , vol.289 , pp. 614-639
    • Vas, L.1
  • 406
    • 33644585602 scopus 로고    scopus 로고
    • ∗-rings defined by a relaxed set of axioms
    • ∗-rings defined by a relaxed set of axioms. J. Algebra 297, 470-473 (2006)
    • (2006) J. Algebra , vol.297 , pp. 470-473
    • Vas, L.1
  • 409
    • 0011001703 scopus 로고
    • Examples of continuous geometry
    • von Neumann, J.: Examples of continuous geometry. Proc. Natl. Acad. Sci. 22, 101-108 (1936)
    • (1936) Proc. Natl. Acad. Sci. , vol.22 , pp. 101-108
    • Von Neumann, J.1
  • 412
    • 84926507238 scopus 로고    scopus 로고
    • On FI-extending rings and modules
    • Wang, X., Chen, J.: On FI-extending rings and modules. Northeast. Math. J. 24, 77-84 (2008)
    • (2008) Northeast. Math. J. , vol.24 , pp. 77-84
    • Wang, X.1    Chen, J.2
  • 413
    • 84968510060 scopus 로고
    • Endomorphism rings of projective modules
    • Ware, R.: Endomorphism rings of projective modules. Trans. Am. Math. Soc. 155, 233-256 (1971)
    • (1971) Trans. Am. Math. Soc. , vol.155 , pp. 233-256
    • Ware, R.1
  • 414
    • 0003054612 scopus 로고
    • Exchange rings and decompositions of modules
    • Warfield, R.B. Jr.: Exchange rings and decompositions of modules. Math. Ann. 199, 31-36 (1972)
    • (1972) Math. Ann. , vol.199 , pp. 31-36
    • Warfield, R.B.1
  • 415
    • 0039703517 scopus 로고
    • Modules with the summand intersection property
    • Wilson, G.V.: Modules with the summand intersection property. Commun. Algebra 14, 21-38 (1986)
    • (1986) Commun. Algebra , vol.14 , pp. 21-38
    • Wilson, G.V.1
  • 418
    • 33748062063 scopus 로고
    • Baer rings of endomorphisms
    • Wolfson, K.G.: Baer rings of endomorphisms. Math. Ann. 143, 19-28 (1961)
    • (1961) Math. Ann. , vol.143 , pp. 19-28
    • Wolfson, K.G.1
  • 420
    • 27844486429 scopus 로고    scopus 로고
    • Jordan isomorphisms of triangular rings
    • Wong, T.-L.: Jordan isomorphisms of triangular rings. Proc. Am. Math. Soc. 133, 3381-3388 (2005)
    • (2005) Proc. Am. Math. Soc. , vol.133 , pp. 3381-3388
    • Wong, T.-L.1
  • 421
    • 33748294682 scopus 로고
    • On PP-rings
    • Xue, W.: On PP-rings. Kobe Math. J. 7, 77-80 (1990)
    • (1990) Kobe Math. J. , vol.7 , pp. 77-80
    • Xue, W.1
  • 422
    • 41149121734 scopus 로고    scopus 로고
    • Baer and quasi-Baer properties of group rings
    • Yi, Z., Zhou, Y.: Baer and quasi-Baer properties of group rings. J. Aust. Math. Soc. 83, 285-296 (2007)
    • (2007) J. Aust. Math. Soc. , vol.83 , pp. 285-296
    • Yi, Z.1    Zhou, Y.2
  • 423
    • 84968519105 scopus 로고
    • Commutative rings whose matrix rings are Baer
    • Yohe, C.R.: Commutative rings whose matrix rings are Baer. Proc. Am. Math. Soc. 22, 189-191 (1969)
    • (1969) Proc. Am. Math. Soc. , vol.22 , pp. 189-191
    • Yohe, C.R.1
  • 425
    • 55049097110 scopus 로고    scopus 로고
    • Properties of modules and rings relative to some matrices
    • Zhang, X., Chen, J.: Properties of modules and rings relative to some matrices. Commun. Algebra 36, 3682-3707 (2008)
    • (2008) Commun. Algebra , vol.36 , pp. 3682-3707
    • Zhang, X.1    Chen, J.2
  • 426
    • 0345060004 scopus 로고    scopus 로고
    • A simple proof of a theorem on quasi-Baer rings
    • Zhou, Y.: A simple proof of a theorem on quasi-Baer rings. Arch. Math. 81, 253-254 (2003)
    • (2003) Arch. Math. , vol.81 , pp. 253-254
    • Zhou, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.