메뉴 건너뛰기




Volumn , Issue , 2009, Pages 1-291

Classical artinian rings and related topics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84967467907     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/7451     Document Type: Book
Times cited : (47)

References (191)
  • 1
    • 43649092929 scopus 로고    scopus 로고
    • Frobenius extensions and tilting complexes
    • H. Abe and M. Hoshino, Frobenius extensions and tilting complexes, Algebras and Representation Theory 11(3) (2008), 215-232.
    • (2008) Algebras and Representation Theory , vol.11 , Issue.3 , pp. 215-232
    • Abe, H.1    Hoshino, M.2
  • 2
    • 21744446024 scopus 로고    scopus 로고
    • On J^-extending modules
    • A. O. Al-attas and N. Vanaja, On J^-extending modules, Comm. Algebra25 (1997), 2365-2393.
    • (1997) Comm. Algebra , vol.25 , pp. 2365-2393
    • Al-Attas, A.O.1    Vanaja, N.2
  • 5
    • 0003301065 scopus 로고
    • Rings and Categories of Modules (Second edition)
    • Springer-Verlag, Berlin/Heidelberg/New York
    • F. W. Anderson and K. R. Fuller, "Rings and Categories of Modules (second edition)," Graduate Texts in Math. 13, Springer-Verlag, Berlin/Heidelberg/New York, 1991.
    • (1991) Graduate Texts in Math , vol.13
    • Anderson, F.W.1    Fuller, K.R.2
  • 6
    • 33744925964 scopus 로고    scopus 로고
    • Selfdualities and serial rings
    • P. M. Anh, Selfdualities and serial rings Bull. London Math. Soc. 38 (2006), 411-420.
    • (2006) Bull. London Math. Soc , vol.38 , pp. 411-420
    • Anh, P.M.1
  • 7
    • 0001627658 scopus 로고
    • On continuous semiprimary rings
    • P. Ara and J. K. Park, On continuous semiprimary rings, Comm. Algebra19 (1991), 1945-1957.
    • (1991) Comm. Algebra , vol.19 , pp. 1945-1957
    • Ara, P.1    Park, J.K.2
  • 8
    • 0001866343 scopus 로고
    • Self-injective rings with restricted chain conditions
    • E. P. Armendariz and J. K. Park, Self-injective rings with restricted chain conditions, Arch. Math. 58 (1992), 24-33.
    • (1992) Arch. Math , vol.58 , pp. 24-33
    • Armendariz, E.P.1    Park, J.K.2
  • 9
    • 0002028173 scopus 로고
    • A duality theory for injective modules
    • G. Azumaya, A duality theory for injective modules, Amer. J. Math. 81 (1959), 249-278.
    • (1959) Amer. J. Math , vol.81 , pp. 249-278
    • Azumaya, G.1
  • 10
    • 0011004234 scopus 로고
    • Corrections and supplements to my paper concerning Krull-Remak-Schmidt's theorem
    • G. Azumaya, Corrections and supplements to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J. 1 (1950), 117-124.
    • (1950) Nagoya Math. J , vol.1 , pp. 117-124
    • Azumaya, G.1
  • 11
    • 38249007232 scopus 로고
    • Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective covers of injective modules
    • Y. Baba, Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective covers of injective modules, J. Algebra155 (1993), 415-434.
    • (1993) J. Algebra , vol.155 , pp. 415-434
    • Baba, Y.1
  • 12
    • 0034360372 scopus 로고    scopus 로고
    • Some classes of QF-3 rings
    • Y. Baba, Some classes of QF-3 rings, Comm. Algebra 28 (2000), 2639-2669.
    • (2000) Comm. Algebra , vol.28 , pp. 2639-2669
    • Baba, Y.1
  • 13
    • 0034340763 scopus 로고    scopus 로고
    • On Harada rings and quasi-Harada rings with left global dimension at most 2
    • Y. Baba, On Harada rings and quasi-Harada rings with left global dimension at most 2, Comm. Algebra 28 (2000), 2671-2684.
    • (2000) Comm. Algebra , vol.28 , pp. 2671-2684
    • Baba, Y.1
  • 14
    • 0036018655 scopus 로고    scopus 로고
    • On self-duality of Auslander rings of local serial rings
    • Y. Baba, On self-duality of Auslander rings of local serial rings, Comm. Algebra 30 (2002), 2583-2592.
    • (2002) Comm. Algebra , vol.30 , pp. 2583-2592
    • Baba, Y.1
  • 15
    • 84967678288 scopus 로고    scopus 로고
    • On quasi-projective modules and quasi-injective modules
    • Y. Baba, On quasi-projective modules and quasi-injective modules, Sci-entiae Mathematicae Japonicae 63 (2006), 589-596.
    • (2006) Sci-Entiae Mathematicae Japonicae , vol.63 , pp. 589-596
    • Baba, Y.1
  • 16
    • 46649087547 scopus 로고    scopus 로고
    • Self-duality of Harad ring of a component type
    • Y. Baba, Self-duality of Harad ring of a component type, J. of Algebra and its Applications 7 (2008), 275-298.
    • (2008) J. Of Algebra and Its Applications , vol.7 , pp. 275-298
    • Baba, Y.1
  • 17
    • 84967410471 scopus 로고    scopus 로고
    • Colocal pairs, Advances in Ring Theory, Proceedings of 5th China-Japan-Korea Symposium on Ring Theory
    • Y. Baba, Colocal pairs, Advances in Ring Theory, Proceedings of 5th China-Japan-Korea Symposium on Ring Theory, World Scientific (2008), 173-182.
    • (2008) World Scientific , pp. 173-182
    • Baba, Y.1
  • 18
    • 0030587966 scopus 로고    scopus 로고
    • On quasi-Harada rings
    • Y. Baba and K. Iwase, On quasi-Harada rings, J. Algebra 185 (1996), 415-434.
    • (1996) J. Algebra , vol.185 , pp. 415-434
    • Baba, Y.1    Iwase, K.2
  • 19
    • 84967503630 scopus 로고    scopus 로고
    • On strongly almost hereditary rings
    • Y. Baba and H. Miki, On strongly almost hereditary rings, Tsukuba J. Math,. 26 (2002), 237-250.
    • (2002) Tsukuba J. Math , vol.26 , pp. 237-250
    • Baba, Y.1    Miki, H.2
  • 20
    • 38249007222 scopus 로고
    • On a Theorem of Fuller
    • Y. Baba and K. Oshiro, On a Theorem of Fuller, J. Algebra 154 (1993), 86-94.
    • (1993) J. Algebra , vol.154 , pp. 86-94
    • Baba, Y.1    Oshiro, K.2
  • 21
    • 84968480794 scopus 로고
    • Finitistic dimension and a homological generalization of semipri-mary rings
    • H. Bass, Finitistic dimension and a homological generalization of semipri-mary rings, Trans. Amer. Math. Soc. 95 (1960), 466-486.
    • (1960) Trans. Amer. Math. Soc , vol.95 , pp. 466-486
    • Bass, H.1
  • 22
    • 0003362045 scopus 로고
    • Representations and Cohomology. I
    • Cambridge University Press, Cambridge
    • D. J. Benson, "Representations and Cohomology. I", Cambridge Studies in Advanced Mathematics, 30, Cambridge University Press, Cambridge (1991).
    • (1991) Cambridge Studies in Advanced Mathematics , vol.30
    • Benson, D.J.1
  • 23
    • 0011670019 scopus 로고
    • Investigations on group characters
    • R. Brauer, Investigations on group characters, Ann. Math. 42 (1941), 936-958.
    • (1941) Ann. Math , vol.42 , pp. 936-958
    • Brauer, R.1
  • 24
    • 70350090375 scopus 로고
    • On regular representations of algebras
    • R. Brauer and C. Nesbitt, On regular representations of algebras, Proc. Nat. Acad. Sci. 23 (1937), 236-240.
    • (1937) Proc. Nat. Acad. Sci , vol.23 , pp. 236-240
    • Brauer, R.1    Nesbitt, C.2
  • 26
    • 84967467732 scopus 로고    scopus 로고
    • On the finitistic conjecture, Advances in Ring Theory, Proceedings of the 4th China-Japan-Korea International Conference on Ring Theory
    • C. Xi, On the finitistic conjecture, Advances in Ring Theory, Proceedings of the 4th China-Japan-Korea International Conference on Ring Theory, World Scientific (2003), 282-294.
    • (2003) World Scientific , pp. 282-294
    • Xi, C.1
  • 27
    • 84968470165 scopus 로고
    • On a question of Faith in commutative endomorphism rings
    • J. Clark, On a question of Faith in commutative endomorphism rings, Proc. Amer. Math. Soc. 98 (1986), 196-198.
    • (1986) Proc. Amer. Math. Soc , vol.98 , pp. 196-198
    • Clark, J.1
  • 28
    • 0002298151 scopus 로고
    • A note on perfect self-injective rings
    • J. Clark and D. V. Huynh, A note on perfect self-injective rings, Quart. J. Math. (Oxford) 45 (1994), 13-17.
    • (1994) Quart. J. Math. (Oxford) , vol.45 , pp. 13-17
    • Clark, J.1    Huynh, D.V.2
  • 29
    • 43949161417 scopus 로고
    • When is a self-injective semiperfect ring quasi-Frobenius?
    • J. Clark and D. V. Huynh, When is a self-injective semiperfect ring quasi-Frobenius?, J. Algebra 165 (1994), 531-542.
    • (1994) J. Algebra , vol.165 , pp. 531-542
    • Clark, J.1    Huynh, D.V.2
  • 32
    • 0000851414 scopus 로고
    • Generalizations of QF-3 algebras
    • R. R. Colby and E. A. Rutter, Jr., Generalizations of QF-3 algebras, Trans. Amer. Math. Soc. 153 (1971), 371-386.
    • (1971) Trans. Amer. Math. Soc , vol.153 , pp. 371-386
    • Colby, R.R.1    Rutter, E.A.2
  • 33
    • 33749037108 scopus 로고
    • Refinements for infinite direct decompositions of algebraic systems
    • P. Crawley and B. Jonnson, Refinements for infinite direct decompositions of algebraic systems, Pacific J. Math. 91(1980), 249-261.
    • (1980) Pacific J. Math , vol.91 , pp. 249-261
    • Crawley, P.1    Jonnson, B.2
  • 35
    • 0002964973 scopus 로고
    • Blocks with cyclic defect groups
    • E. C. Dade, Blocks with cyclic defect groups, Ann. Math. 84 (1966), 20-48.
    • (1966) Ann. Math , vol.84 , pp. 20-48
    • Dade, E.C.1
  • 36
    • 84972565601 scopus 로고
    • Right perfect rings with the extending property on finitely generated free modules
    • P. Dan, Right perfect rings with the extending property on finitely generated free modules, Osaka J. Math. 26 (1989), 265-273.
    • (1989) Osaka J. Math , vol.26 , pp. 265-273
    • Dan, P.1
  • 37
    • 0041715544 scopus 로고
    • Einreihig zerlegbare artinsche Ringe sind selbstdual
    • F. Dischinger and W. Muller, Einreihig zerlegbare artinsche Ringe sind selbstdual, Arch. Math. 48 (1984), 132-136.
    • (1984) Arch. Math , vol.48 , pp. 132-136
    • Dischinger, F.1    Muller, W.2
  • 38
    • 0001441134 scopus 로고
    • Left PF is not right PF
    • F. Dischinger and W. Müller, Left PF is not right PF, Comm. Algebra 14 (1986), 1223-1227.
    • (1986) Comm. Algebra , vol.14 , pp. 1223-1227
    • Dischinger, F.1    Müller, W.2
  • 40
    • 0001607548 scopus 로고
    • Rings for which certain modules are CS
    • N. V. Dung and P. F. Smith, Rings for which certain modules are CS, J. Pure Appl. Algebra 102 (1995), 273-287.
    • (1995) J. Pure Appl. Algebra , vol.102 , pp. 273-287
    • Dung, N.V.1    Smith, P.F.2
  • 42
    • 0002296885 scopus 로고
    • Über injective Moduln
    • B. Eckmann and A. Schopf, Über injective Moduln, Arch Math. 4 (1953), 75-78.
    • (1953) Arch Math , vol.4 , pp. 75-78
    • Eckmann, B.1    Schopf, A.2
  • 44
    • 0002873610 scopus 로고
    • Hereditary noetherian prime rings
    • G. Eisenbud and J. C. Robson, Hereditary noetherian prime rings, J. Algebra (1970), 86-104.
    • (1970) J. Algebra , pp. 86-104
    • Eisenbud, G.1    Robson, J.C.2
  • 45
    • 0000746212 scopus 로고
    • Direct sum representations of injective modules
    • C. Faith and E. A. Walker, Direct sum representations of injective modules, J. Algebra 59 (1967), 203-221.
    • (1967) J. Algebra , vol.59 , pp. 203-221
    • Faith, C.1    Walker, E.A.2
  • 46
    • 0010017991 scopus 로고
    • Algebra I. Rings, Modules, and Categories
    • Springer-Verlag, Berlin/Heidelberg/New York
    • C. Faith, "Algebra I. Rings, Modules, and Categories.", Grundlehren Math. Wiss. 190, Springer-Verlag, Berlin/Heidelberg/New York, 1973.
    • (1973) Grundlehren Math. Wiss , vol.190
    • Faith, C.1
  • 47
    • 0003232847 scopus 로고
    • Algebra II. Ring Theory
    • Springer-Verlag, Berlin/Heidelberg/New York
    • C. Faith, "Algebra II. Ring Theory", Grundlehren Math. Wiss. 192, Springer-Verlag, Berlin/Heidelberg/New York, 1976.
    • (1976) Grundlehren Math. Wiss , vol.192
    • Faith, C.1
  • 48
    • 0242398866 scopus 로고    scopus 로고
    • When self-injective rings are QF: A report on a problem
    • C. Faith and D. V. Huynh, When self-injective rings are QF: A report on a problem, J. Algebra Appl. 1 (2002), 72-105.
    • (2002) J. Algebra Appl , vol.1 , pp. 72-105
    • Faith, C.1    Huynh, D.V.2
  • 49
    • 0003274126 scopus 로고
    • Injective Modules and Injective Quotient Rings
    • Marcel Dekker, Basel/New York
    • C. Faith, "Injective Modules and Injective Quotient Rings", Lecture Notes in Pure and Appl. Math. 72, Marcel Dekker, Basel/New York, 1982.
    • (1982) Lecture Notes in Pure and Appl. Math , vol.72
    • Faith, C.1
  • 50
    • 0001978144 scopus 로고
    • Possible Brauer trees
    • W. Feit, Possible Brauer trees, Ill. J. Math. 28 (1984), 45-56.
    • (1984) Ill. J. Math , vol.28 , pp. 45-56
    • Feit, W.1
  • 51
    • 70350088593 scopus 로고
    • Theori der hyperkomplexen Großben
    • W. Von Frobenius, Theori der hyperkomplexen Großben, Sitzung der phys.-math. K1(1903), 504-538, 634-645.
    • (1903) ;Sitzung Der Phys.-Math , vol.K1
    • Von Frobenius, W.1
  • 52
    • 0000728616 scopus 로고
    • On quasi-injective modules
    • L. Fuchs, On quasi-injective modules, Ann. Scuola Norm. Sup. Pisa 23 (1969), 541-546.
    • (1969) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 541-546
    • Fuchs, L.1
  • 53
    • 33645082662 scopus 로고    scopus 로고
    • Frobenius full matrix algebras and Gorenstein tiled orders
    • F. Fujita and Y. Sakai, Frobenius full matrix algebras and Gorenstein tiled orders, Comm. Algebra 34 (2006), 1181-1203.
    • (2006) Comm. Algebra , vol.34 , pp. 1181-1203
    • Fujita, F.1    Sakai, Y.2
  • 54
    • 84972563210 scopus 로고
    • On indecomposable injectives over artinian rings
    • K. R. Fuller, On indecomposable injectives over artinian rings, Pacific J. Math 29 (1968), 115-135.
    • (1968) Pacific J. Math , vol.29 , pp. 115-135
    • Fuller, K.R.1
  • 56
    • 0000043556 scopus 로고
    • Self-duality and serial rings
    • J. K. Haack, Self-duality and serial rings, J. Algebra 59 (1979), 345-363.
    • (1979) J. Algebra , vol.59 , pp. 345-363
    • Haack, J.K.1
  • 57
    • 0036539361 scopus 로고    scopus 로고
    • On direct sums of extending modules and internal exchange property
    • K. Hanada, Y. Kuratomi and K. Oshiro, On direct sums of extending modules and internal exchange property, J. Algebra 250 (2002), 115-133.
    • (2002) J. Algebra , vol.250 , pp. 115-133
    • Hanada, K.1    Kuratomi, Y.2    Oshiro, K.3
  • 58
    • 84967467785 scopus 로고    scopus 로고
    • Nakayama algebras over alge-braically closed fields
    • A. Hanaki, S. Koshitani and K. Oshiro, Nakayama algebras over alge-braically closed fields, preprint.
    • Preprint
    • Hanaki, A.1    Koshitani, S.2    Oshiro, K.3
  • 59
    • 84934640024 scopus 로고
    • The Morita context and the construction of QF rings, Proceedings of the Conference on Orders, Group Rings and Related Top-ics
    • Springer-Verlag, Berlin/Heidelberg/New York
    • T. A. Hannula, The Morita context and the construction of QF rings, Proceedings of the Conference on Orders, Group Rings and Related Top-ics, Lect. Notes Math. 353, Springer-Verlag, Berlin/Heidelberg/New York (1973), 113-130.
    • (1973) Lect. Notes Math , vol.353 , pp. 113-130
    • Hannula, T.A.1
  • 60
    • 0002963712 scopus 로고
    • Non-small modules and non-cosmall modules
    • (F. Van Oystaeyen, Ed.) Dekker, New York
    • M. Harada, Non-small modules and non-cosmall modules, in "Ring The-ory", Proceedings of 1978 Antwerp Conference (F. Van Oystaeyen, Ed.) Dekker, New York (1979), 669-690.
    • (1979) In "Ring The-Ory", Proceedings of 1978 Antwerp Conference , pp. 669-690
    • Harada, M.1
  • 61
    • 84972514514 scopus 로고
    • On one-sided QF-2 rings I
    • M. Harada, On one-sided QF-2 rings I, Osaka J. Math. 17 (1980), 421-431.
    • (1980) Osaka J. Math , vol.17 , pp. 421-431
    • Harada, M.1
  • 62
    • 84972514539 scopus 로고
    • On one-sided QF-2 rings II
    • M. Harada, On one-sided QF-2 rings II, Osaka J. Math. 17 (1980), 433-438.
    • (1980) ;Osaka J. Math , vol.17 , pp. 433-438
    • Harada, M.1
  • 63
    • 84972552136 scopus 로고
    • On lifting property on direct sums of hollow modules
    • M. Harada, On lifting property on direct sums of hollow modules, Osaka J. Math. 17 (1980), 783-791.
    • (1980) Osaka J. Math , vol.17 , pp. 783-791
    • Harada, M.1
  • 64
    • 0003248469 scopus 로고
    • Factor Categories with Applications to Direct Decomposition of Modules
    • Dekker, New York
    • M. Harada, "Factor Categories with Applications to Direct Decomposition of Modules," Lect. Notes Pure Appl. Math. 88, Dekker, New York, 1983.
    • (1983) Lect. Notes Pure Appl. Math , vol.88
    • Harada, M.1
  • 65
    • 84972571506 scopus 로고
    • On almost relative injective on artinian modules
    • M. Harada, On almost relative injective on artinian modules, Osaka J. Math. 27 (1990), 963-971.
    • (1990) Osaka J. Math , vol.27 , pp. 963-971
    • Harada, M.1
  • 66
    • 84972573184 scopus 로고
    • A note on almost relative projectives and almost relative injectives
    • M. Harada, A note on almost relative projectives and almost relative injectives, Osaka J. Math. 29 (1992), 435-446.
    • (1992) Osaka J. Math , vol.29 , pp. 435-446
    • Harada, M.1
  • 67
    • 84972562988 scopus 로고
    • Almost QF rings and almost QF# rings
    • M. Harada, Almost QF rings and almost QF# rings, Osaka J. Math. 30 (1993), 887-892.
    • (1993) Osaka J. Math , vol.30 , pp. 887-892
    • Harada, M.1
  • 68
    • 38249001270 scopus 로고
    • Almost projective modules
    • M. Harada, Almost projective modules, J. Algebra 154 (1993), 150-159.
    • (1993) J. Algebra , vol.154 , pp. 150-159
    • Harada, M.1
  • 69
    • 84967468181 scopus 로고    scopus 로고
    • On almost relative injective of finite length
    • M. Harada, On almost relative injective of finite length, preprint.
    • Preprint
    • Harada, M.1
  • 70
    • 84972574367 scopus 로고
    • On perfect rings and the exchange property
    • M. Harada and T. Ishii, On perfect rings and the exchange property, Osaka J. Math. 12 (1975), 483-491.
    • (1975) Osaka J. Math , vol.12 , pp. 483-491
    • Harada, M.1    Ishii, T.2
  • 71
    • 84972552171 scopus 로고
    • On categories of projective modules
    • M. Harada and H. Kanbara, On categories of projective modules, Osaka J. Math. 8 (1971), 471-483.
    • (1971) Osaka J. Math , vol.8 , pp. 471-483
    • Harada, M.1    Kanbara, H.2
  • 72
    • 84972562933 scopus 로고
    • On almost relative injectives on artinian modules
    • M. Harada and T. Mabuchi, On almost relative injectives on artinian modules, Osaka J. Math. 26 (1989), 837-848.
    • (1989) Osaka J. Math , vol.26 , pp. 837-848
    • Harada, M.1    Mabuchi, T.2
  • 73
    • 84972562824 scopus 로고
    • On extending property on direct sums of uniform modules
    • M. Harada and K. Oshiro, On extending property on direct sums of uniform modules, Osaka J. Math. 18 (1981), 767-785.
    • (1981) Osaka J. Math , vol.18 , pp. 767-785
    • Harada, M.1    Oshiro, K.2
  • 74
    • 38249023052 scopus 로고
    • Almost M-projectives and Nakayama rings
    • M. Harada and A. Tozaki, Almost M-projectives and Nakayama rings, J. Algebra 122 (1989), 447-474.
    • (1989) J. Algebra , vol.122 , pp. 447-474
    • Harada, M.1    Tozaki, A.2
  • 75
    • 0000094818 scopus 로고
    • Finite direct sums of CS-modules
    • A. Harmanci and P. F. Smith, Finite direct sums of CS-modules, Houston J. Math 19 (1993), 523-532.
    • (1993) Houston J. Math , vol.19 , pp. 523-532
    • Harmanci, A.1    Smith, P.F.2
  • 76
    • 0030446522 scopus 로고    scopus 로고
    • On self-injective perfect rings
    • D. Herbera and A. Shamsuddin, On self-injective perfect rings, Canad. Math. Bull. 39 (1996), 55-58.
    • (1996) Canad. Math. Bull , vol.39 , pp. 55-58
    • Herbera, D.1    Shamsuddin, A.2
  • 77
    • 84972522909 scopus 로고
    • Indecomposable representations at characteristic p
    • D. G. Higman, Indecomposable representations at characteristic p, Duke Math. J. 21 (1954), 377-381.
    • (1954) Duke Math. J , vol.21 , pp. 377-381
    • Higman, D.G.1
  • 78
    • 0034355810 scopus 로고    scopus 로고
    • Strongly quasi-Frobenius rings
    • M. Hoshino, Strongly quasi-Frobenius rings, Comm. Algebra 28 (2000), 3585-3599.
    • (2000) Comm. Algebra , vol.28 , pp. 3585-3599
    • Hoshino, M.1
  • 79
    • 0002088862 scopus 로고    scopus 로고
    • Injective pairs in perfect rings
    • M. Hoshino and T. Sumioka, Injective pairs in perfect rings, Osaka J. Math. 35 (1998), 501-508.
    • (1998) Osaka J. Math , vol.35 , pp. 501-508
    • Hoshino, M.1    Sumioka, T.2
  • 80
    • 0011666995 scopus 로고    scopus 로고
    • Colocal pairs in perfect rings
    • M. Hoshino and T. Sumioka, Colocal pairs in perfect rings, Osaka J. Math.36 (1999), 587-603.
    • (1999) Osaka J. Math , vol.36 , pp. 587-603
    • Hoshino, M.1    Sumioka, T.2
  • 81
    • 0010830066 scopus 로고
    • Some characterizations of right co-H-rings
    • D. V. Huynh and P. Dan, Some characterizations of right co-H-rings, Math. J. Okayama Univ. 34 (1992), 165-174.
    • (1992) Math. J. Okayama Univ , vol.34 , pp. 165-174
    • Huynh, D.V.1    Dan, P.2
  • 82
    • 84972549196 scopus 로고
    • A characterization of quasi-Frobenius rings
    • M. Ikeda, A characterization of quasi-Frobenius rings, Osaka J. Math. 4 (1952), 203-209.
    • (1952) Osaka J. Math , vol.4 , pp. 203-209
    • Ikeda, M.1
  • 83
    • 84968519563 scopus 로고
    • Some characteristic properties of quasi-Frobenius and regular rings
    • M. Ikeda and T. Nakayama, Some characteristic properties of quasi-Frobenius and regular rings, Proc. Amer. Math. Soc. 5 (1954), 15-19.
    • (1954) Proc. Amer. Math. Soc , vol.5 , pp. 15-19
    • Ikeda, M.1    Nakayama, T.2
  • 84
    • 84972575580 scopus 로고
    • Lifting Brauer characters of p-solvable groups
    • I. M. Isaacs, Lifting Brauer characters of p-solvable groups, Pacific J. Math. 53 (1974), 171-188.
    • (1974) Pacific J. Math , vol.53 , pp. 171-188
    • Isaacs, I.M.1
  • 85
    • 84967654650 scopus 로고    scopus 로고
    • Remarks on QF-2 rings, QF-3 rings and Harada rings, Advances in Ring Theory, Proceedings of 5th China-Japan-Korea Ring Theory Symposium
    • K. Iwase, Remarks on QF-2 rings, QF-3 rings and Harada rings, Advances in Ring Theory, Proceedings of 5th China-Japan-Korea Ring Theory Symposium, World Scientific (2008), 210-224.
    • (2008) World Scientific , pp. 210-224
    • Iwase, K.1
  • 86
    • 0000917391 scopus 로고
    • Indecomposable modules for finite groups
    • G. J. Janusz, Indecomposable modules for finite groups, Ann. Math. 89 (1969), 209-241.
    • (1969) Ann. Math , vol.89 , pp. 209-241
    • Janusz, G.J.1
  • 87
    • 0001058602 scopus 로고
    • Sur les modules et anneaux quasi-continus
    • L. Jeremy, Sur les modules et anneaux quasi-continus, Canad. Math. Bull.17 (1974), 217-228.
    • (1974) Canad. Math. Bull , vol.17 , pp. 217-228
    • Jeremy, L.1
  • 88
    • 84972570925 scopus 로고
    • The maximal quotient rings of left H-rings
    • J. Kado, The maximal quotient rings of left H-rings, Osaka J. Math. 27 (1990), 247-252.
    • (1990) Osaka J. Math , vol.27 , pp. 247-252
    • Kado, J.1
  • 89
    • 0033555090 scopus 로고    scopus 로고
    • Self-duality and Harada rings
    • J. Kado and K. Oshiro, Self-duality and Harada rings, J. Algebra 211 (1999), 384-408.
    • (1999) J. Algebra , vol.211 , pp. 384-408
    • Kado, J.1    Oshiro, K.2
  • 90
    • 34250542850 scopus 로고
    • Unzerlegbare modulare Darstellungen endlicher Gruppen mit zyklischer p-Sylow-Gruppen
    • F. Kasch, M. Kneser and H. Kupisch, Unzerlegbare modulare Darstellungen endlicher Gruppen mit zyklischer p-Sylow-Gruppen, Arch. Math. 8 (1957), 320-321.
    • (1957) Arch. Math , vol.8 , pp. 320-321
    • Kasch, F.1    Kneser, M.2    Kupisch, H.3
  • 91
    • 84972571086 scopus 로고
    • Self-injective rings
    • T. Kato, Self-injective rings, Tohoku Math. J. 19 (1967), 485-494.
    • (1967) Tohoku Math. J , vol.19 , pp. 485-494
    • Kato, T.1
  • 92
    • 0034338128 scopus 로고    scopus 로고
    • On lifting modules
    • D. Keskin On lifting modules, Comm. Algebra 28 (2000), 3427-3440.
    • (2000) Comm. Algebra , vol.28 , pp. 3427-3440
    • Keskin, D.1
  • 93
    • 0036867069 scopus 로고    scopus 로고
    • Discrete and quasi-discrete modules
    • D. Keskin, Discrete and quasi-discrete modules, Comm. Algebra 30 (2002), 5273-5282.
    • (2002) Comm. Algebra , vol.30 , pp. 5273-5282
    • Keskin, D.1
  • 94
    • 84874292336 scopus 로고    scopus 로고
    • A construction of local QF-rings with radical cube zero, Proceedings of the 39th Symposium on Ring Theory
    • I. Kikumasa, K. Oshiro and H. Yoshimura, A construction of local QF-rings with radical cube zero, Proceedings of the 39th Symposium on Ring Theory, Hiroshima (2007), 36-44.
    • (2007) Hiroshima , pp. 36-44
    • Kikumasa, I.1    Oshiro, K.2    Yoshimura, H.3
  • 95
    • 0038474142 scopus 로고    scopus 로고
    • Commutative QF-algebras with radical cube zero
    • I. Kikumasa and H. Yoshimura, Commutative QF-algebras with radical cube zero, Comm. Algebra 31 (2003), 1837-1858.
    • (2003) Comm. Algebra , vol.31 , pp. 1837-1858
    • Kikumasa, I.1    Yoshimura, H.2
  • 96
    • 40249083038 scopus 로고    scopus 로고
    • Isomorphism classes of QF-algebras with radical cube zero, Advances in Ring Theory, Proceedings of the 4th ChinaJapan-Korea International Symposium on Ring Theory
    • I. Kikumasa and H. Yoshimura, Isomorphism classes of QF-algebras with radical cube zero, Advances in Ring Theory, Proceedings of the 4th ChinaJapan-Korea International Symposium on Ring Theory, World Scientific (2003), 106-117.
    • (2003) World Scientific , pp. 106-117
    • Kikumasa, I.1    Yoshimura, H.2
  • 97
    • 0034354164 scopus 로고    scopus 로고
    • On self-injective semiprimary rings
    • K. Koike, On self-injective semiprimary rings, Comm. Algebra 28 (2000), 4303-4319.
    • (2000) Comm. Algebra , vol.28 , pp. 4303-4319
    • Koike, K.1
  • 98
    • 0035880075 scopus 로고    scopus 로고
    • Examples of QF rings without Nakayama automorphism and H-rings without self-duality
    • K. Koike, Examples of QF rings without Nakayama automorphism and H-rings without self-duality, J. Algebra 241 (2001), 731-744.
    • (2001) J. Algebra , vol.241 , pp. 731-744
    • Koike, K.1
  • 99
    • 0037104698 scopus 로고    scopus 로고
    • Almost self-duality and Harada rings
    • K. Koike, Almost self-duality and Harada rings, J. Algebra 254 (2002), 336-361.
    • (2002) J. Algebra , vol.254 , pp. 336-361
    • Koike, K.1
  • 100
    • 33746772892 scopus 로고    scopus 로고
    • Self-duality of quasi-Harada rings and locally distributive rings
    • K. Koike, Self-duality of quasi-Harada rings and locally distributive rings, J. Algebra 302 (2006), 613-645.
    • (2006) J. Algebra , vol.302 , pp. 613-645
    • Koike, K.1
  • 101
    • 84967689645 scopus 로고    scopus 로고
    • Proceedings of the 5th China-Japan-Korea International Symposium on Ring Theory
    • K. Koike, Morita duality and recent development, Proceedings of the 5th China-Japan-Korea International Symposium on Ring Theory, World Scientific (2008), 105-115.
    • (2008) World Scientific , pp. 105-115
    • Koike, K.1    Duality, M.2    Development, R.3
  • 102
    • 84967467047 scopus 로고    scopus 로고
    • Some topics on modular group algebras of finite groups, Proceeding 30th Symp. Ring Theory
    • S. Koshitani, Some topics on modular group algebras of finite groups, Proceeding 30th Symp. Ring Theory, Shinsyu (1997), 81-90.
    • (1997) Shinsyu , pp. 81-90
    • Koshitani, S.1
  • 103
    • 0003291101 scopus 로고
    • Characterizations of the existence of (Quasi-)selfduality for complete tensor rings
    • J. Kraemer, "Characterizations of the existence of (quasi-)selfduality for complete tensor rings", Algebra Berichte 56, München, 1987.
    • (1987) Algebra Berichte 56, München
    • Kraemer, J.1
  • 104
    • 0002355555 scopus 로고
    • Uber ein Klasse von Ringen mit Minimalbedingung II
    • H. Kupisch, Uber ein Klasse von Ringen mit Minimalbedingung II, Arch. Math. 26 (1975), 23-35.
    • (1975) Arch. Math , vol.26 , pp. 23-35
    • Kupisch, H.1
  • 105
    • 84972939291 scopus 로고
    • A characterization of Nakayama Rings
    • H. Kupisch, A characterization of Nakayama Rings, Comm. Algebra 23 (1995), 739-741.
    • (1995) Comm. Algebra , vol.23 , pp. 739-741
    • Kupisch, H.1
  • 106
    • 27944481607 scopus 로고    scopus 로고
    • On direct sums of lifting modules and internal exxchange property
    • Y. Kuratomi, On direct sums of lifting modules and internal exxchange property, Comm. Algebra 33 (2005), 1795-1804.
    • (2005) Comm. Algebra , vol.33 , pp. 1795-1804
    • Kuratomi, Y.1
  • 107
    • 0003358585 scopus 로고    scopus 로고
    • Lectures on Modules and Rings
    • Springer-Verlag, Berlin/Heidelberg/New York
    • T. Y. Lam, "Lectures on Modules and Rings", Graduate Texts in Math-ematics 189, Springer-Verlag, Berlin/Heidelberg/New York, 1998.
    • (1998) Graduate Texts in Math-Ematics , vol.189
    • Lam, T.Y.1
  • 109
    • 0032351507 scopus 로고    scopus 로고
    • A simplified proof of Oshiro's theorem for co-H-rings, Rocky Mountain
    • W. T. H. Loggie, A simplified proof of Oshiro's theorem for co-H-rings, Rocky Mountain J. Math. 28 (1998), 643-648.
    • (1998) J. Math , vol.28 , pp. 643-648
    • Loggie, W.1
  • 110
    • 0009244178 scopus 로고
    • The invariant system of serial rings and their applications to the theory of self-duality
    • Tokyo
    • T. Mano, The invariant system of serial rings and their applications to the theory of self-duality, Proceedings of 16th Symp. Ring Theory, Tokyo(1983), 48-53.
    • (1983) Proceedings of 16Th Symp. Ring Theory , pp. 48-53
    • Mano, T.1
  • 111
    • 84972502497 scopus 로고
    • Uniserial rings and skew polynomial rings
    • T. Mano, Uniserial rings and skew polynomial rings, Tokyo J. Math. 7 (1984), 209-213.
    • (1984) Tokyo J. Math , vol.7 , pp. 209-213
    • Mano, T.1
  • 112
    • 34447601051 scopus 로고
    • Uber den arithmetischen Character der Koeffizienten der Substitutionen endlicher linearer Substitutiongruppen
    • H. Maschke, Uber den arithmetischen Character der Koeffizienten der Substitutionen endlicher linearer Substitutiongruppen, Math. Ann. 50 (1898), 482-498.
    • (1898) Math. Ann , vol.50 , pp. 482-498
    • Maschke, H.1
  • 113
    • 0013477507 scopus 로고
    • Semiperfect modules
    • E. Mares, Semiperfect modules, Math. Z. 82 (1963), 347-360.
    • (1963) Math. Z , vol.82 , pp. 347-360
    • Mares, E.1
  • 114
    • 49549135070 scopus 로고
    • Green Correspondence between Blocks with Cyclic Defect groups
    • G. O. Michler, Green Correspondence between Blocks with Cyclic Defect groups, J. Algebra 39 (1976), 26-51.
    • (1976) J. Algebra , vol.39 , pp. 26-51
    • Michler, G.O.1
  • 115
    • 0003318599 scopus 로고
    • Continuous Modules and Discrete Modules
    • Cambridge Univ. Press, Cambridge
    • S. H. Mohamed and B. J. Muller, "Continuous Modules and Discrete Modules", London Math. Soc. Lect. Notes 147, Cambridge Univ. Press, Cambridge, 1990.
    • (1990) London Math. Soc. Lect. Notes , vol.147
    • Mohamed, S.H.1    Muller, B.J.2
  • 118
    • 0002362273 scopus 로고    scopus 로고
    • Generalizations of theorems of Fuller
    • M. Morimoto and T. Sumioka, Generalizations of theorems of Fuller, Osaka J. Math. 34 (1997), 689-701.
    • (1997) Osaka J. Math , vol.34 , pp. 689-701
    • Morimoto, M.1    Sumioka, T.2
  • 119
    • 0034164935 scopus 로고    scopus 로고
    • On dual pairs and simple-injective modules
    • M. Morimoto and T. Sumioka, On dual pairs and simple-injective modules, J. Algebra 226 (2000), 191-201.
    • (2000) J. Algebra , vol.226 , pp. 191-201
    • Morimoto, M.1    Sumioka, T.2
  • 120
    • 0039013868 scopus 로고    scopus 로고
    • Semicolocal pairs and finitely cogenerated injective modules
    • M. Morimoto and T. Sumioka, Semicolocal pairs and finitely cogenerated injective modules, Osaka J. Math. 37 (2000), 801-810.
    • (2000) Osaka J. Math , vol.37 , pp. 801-810
    • Morimoto, M.1    Sumioka, T.2
  • 121
    • 2342482367 scopus 로고
    • On group rings over a modular field which possess radicals expressible as principal ideals
    • K. Morita, On group rings over a modular field which possess radicals expressible as principal ideals, Sci. Rep. Tokyo Bunrika Daigaku, Kyoiku Daigaku (Sec.A) 4 (1951), 177-194.
    • (1951) Sci. Rep. Tokyo Bunrika Daigaku, Kyoiku Daigaku (Sec.A) , vol.4 , pp. 177-194
    • Morita, K.1
  • 122
    • 0002783109 scopus 로고
    • Duality for modules and its applications to the theory of rings with minimum condition
    • K. Morita, Duality for modules and its applications to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku 6 (1958), 83142.
    • (1958) Sci. Rep. Tokyo Kyoiku Daigaku , vol.6
    • Morita, K.1
  • 123
    • 0000091176 scopus 로고
    • Character modules, submodules of a free module, and quasi-Frobenius rings
    • K. Morita and H. Tachikawa, Character modules, submodules of a free module, and quasi-Frobenius rings, Math. Z. 65 (1956), 414-428.
    • (1956) Math. Z , vol.65 , pp. 414-428
    • Morita, K.1    Tachikawa, H.2
  • 124
    • 84972582447 scopus 로고
    • Direct sums of indecomposable modules
    • B. J. Müller and S. T. Rizvi, Direct sums of indecomposable modules, Osaka J. Math. 21 (1984), 365-374.
    • (1984) Osaka J. Math , vol.21 , pp. 365-374
    • Müller, B.J.1    Rizvi, S.T.2
  • 126
    • 0009101431 scopus 로고
    • On the structure of generalized uniserial rings II
    • I. Murase, On the structure of generalized uniserial rings II, Sci. Papers College Gen. Educ., Univ. Tokyo 13 (1963), 131-158.
    • (1963) Sci. Papers College Gen. Educ., Univ. Tokyo , vol.13 , pp. 131-158
    • Murase, I.1
  • 127
  • 131
    • 84967552560 scopus 로고    scopus 로고
    • Skew matrix rings and applications to QF-rings, Advances in Ring Theory, Proceedings of the 5th China-Japan-Korea International Symposium on Ring Theory
    • Y. Nagatomi, K. Oshiro, M. Uhara and K. Yamaura, Skew matrix rings and applications to QF-rings, Advances in Ring Theory, Proceedings of the 5th China-Japan-Korea International Symposium on Ring Theory, World Scientific (2008), 247-271.
    • (2008) World Scientific , pp. 247-271
    • Nagatomi, Y.1    Oshiro, K.2    Uhara, M.3    Yamaura, K.4
  • 132
    • 0001743366 scopus 로고
    • On Frobenius algebras I
    • T. Nakayama, On Frobenius algebras I, Ann. Math. 40 (1939), 611-633.
    • (1939) Ann. Math , vol.40 , pp. 611-633
    • Nakayama, T.1
  • 133
    • 0002930423 scopus 로고
    • On Frobenius algebras II
    • T. Nakayama, On Frobenius algebras II, Ann. Math. 42 (1941), 1-21.
    • (1941) Ann. Math , vol.42 , pp. 1-21
    • Nakayama, T.1
  • 134
    • 0009104152 scopus 로고
    • Note on uniserial and generalized uniserial rings
    • T. Nakayama, Note on uniserial and generalized uniserial rings, Proc. Imp. Acad. Tokyo 16 (1940), 285-289.
    • (1940) Proc. Imp. Acad. Tokyo , vol.16 , pp. 285-289
    • Nakayama, T.1
  • 135
    • 0039246283 scopus 로고
    • On algebras with complete homology
    • T. Nakayama, On algebras with complete homology, Abh. Math.Sem, Univ. Hanburg 22 (1958), 300-307.
    • (1958) Abh. Math.Sem, Univ. Hanburg , vol.22 , pp. 300-307
    • Nakayama, T.1
  • 136
    • 0000358335 scopus 로고
    • Note on symmetric algebras
    • T. Nakayama and C. Nesbitt, Note on symmetric algebras Ann. Math. 39 (1938), 659-668.
    • (1938) Ann. Math , vol.39 , pp. 659-668
    • Nakayama, T.1    Nesbitt, C.2
  • 138
    • 70350115288 scopus 로고
    • On the regular representations of algebras
    • C. J. Nesbitt, On the regular representations of algebras, Ann. Math. 39 (1938), 634-658.
    • (1938) Ann. Math , vol.39 , pp. 634-658
    • Nesbitt, C.J.1
  • 139
    • 0041030390 scopus 로고
    • Some ring theorems with applications to modular representations
    • C. J. Nesbitt and R. M. Thrall, Some ring theorems with applications to modular representations, Ann. Math. 47 (1946), 551-567.
    • (1946) Ann. Math , vol.47 , pp. 551-567
    • Nesbitt, C.J.1    Thrall, R.M.2
  • 140
  • 143
    • 22544439041 scopus 로고    scopus 로고
    • On Nakayama rings
    • K. Nonomura, On Nakayama rings, Comm. Algebra 32 (2004), 589-598.
    • (2004) Comm. Algebra , vol.32 , pp. 589-598
    • Nonomura, K.1
  • 144
    • 33645361869 scopus 로고
    • On primary decomposable of group rings
    • M. Osima, On primary decomposable of group rings, Proc. Phys.-Math. Soc. Japan 24 (1942),1-9.
    • (1942) Proc. Phys.-Math. Soc. Japan , vol.24 , pp. 1-9
    • Osima, M.1
  • 145
    • 84972567149 scopus 로고
    • Continuous modules and quasi-continuous modules
    • K. Oshiro, Continuous modules and quasi-continuous modules, Osaka J. Math. 20 (1983), 681-694.
    • (1983) Osaka J. Math , vol.20 , pp. 681-694
    • Oshiro, K.1
  • 146
    • 84972550802 scopus 로고
    • Semiperfect modules and quasi-semiperfect modules
    • K. Oshiro, Semiperfect modules and quasi-semiperfect modules, Osaka J. Math. 20 (1983), 337-372.
    • (1983) Osaka J. Math , vol.20 , pp. 337-372
    • Oshiro, K.1
  • 147
    • 0021677845 scopus 로고
    • Lifting modules, extending modules and their applications to QF-rings
    • K. Oshiro, Lifting modules, extending modules and their applications to QF-rings, Hokkaido Math. J. 13 (1984), 310-338.
    • (1984) Hokkaido Math. J , vol.13 , pp. 310-338
    • Oshiro, K.1
  • 148
    • 84972503475 scopus 로고
    • Lifting modules, extending modules and their applications to generalized uniserial rings
    • K. Oshiro, lifting modules, extending modules and their applications to generalized uniserial rings, Hokkaido Math. J. 13 (1984), 339-346.
    • (1984) Hokkaido Math. J , vol.13 , pp. 339-346
    • Oshiro, K.1
  • 149
    • 84967405464 scopus 로고
    • Proceedings of 20th Symp. Ring Theory, Okayama
    • K. Oshiro, Structure of Nakayama rings, Proceedings of 20th Symp. Ring Theory, Okayama (1987), 109-133.
    • (1987) Structure of Nakayama Rings , pp. 109-133
    • Oshiro, K.1
  • 150
    • 0000497391 scopus 로고
    • On Harada rings I
    • K. Oshiro, On Harada rings I, Math. J. Okayama Univ. 31 (1989), 161-178.
    • (1989) Math. J. Okayama Univ , vol.31 , pp. 161-178
    • Oshiro, K.1
  • 151
    • 0000497391 scopus 로고
    • On Harada rings II
    • K. Oshiro, On Harada rings II, Math. J. Okayama Univ. 31 (1989), 179-188.
    • (1989) Math. J. Okayama Univ , vol.31 , pp. 179-188
    • Oshiro, K.1
  • 152
    • 0002592482 scopus 로고
    • On Harada rings III
    • K. Oshiro, On Harada rings III, Math. J. Okayama Univ. 32 (1990), 111-118.
    • (1990) Math. J. Okayama Univ , vol.32 , pp. 111-118
    • Oshiro, K.1
  • 155
    • 0041157298 scopus 로고    scopus 로고
    • QF-rings with cyclic Nakayama permutations
    • K. Oshiro and S. H. Rim, QF-rings with cyclic Nakayama permutations, Osaka J. Math. 34 (1997), 1-19.
    • (1997) Osaka J. Math , vol.34 , pp. 1-19
    • Oshiro, K.1    Rim, S.H.2
  • 156
    • 0000832771 scopus 로고    scopus 로고
    • The exchange property of quasi-continuous modules with the finite exchange property
    • K. Oshiro and S. T. Rizvi, The exchange property of quasi-continuous modules with the finite exchange property, Osaka J. Math. 33 (1996), 217-234.
    • (1996) Osaka J. Math , vol.33 , pp. 217-234
    • Oshiro, K.1    Rizvi, S.T.2
  • 157
    • 0000340081 scopus 로고
    • On H-rings with homogeneous socles
    • K. Oshiro and K. Shigenaga, On H-rings with homogeneous socles, Math. J. Okayama Univ. 31 (1989), 189-196.
    • (1989) Math. J. Okayama Univ , vol.31 , pp. 189-196
    • Oshiro, K.1    Shigenaga, K.2
  • 158
    • 84972527137 scopus 로고
    • Modules with every subgenerated module lifting
    • K. Oshiro and R. Wisbauer, Modules with every subgenerated module lifting, Osaka J. Math. 32 (1995), 513-519.
    • (1995) Osaka J. Math , vol.32 , pp. 513-519
    • Oshiro, K.1    Wisbauer, R.2
  • 159
    • 0000738623 scopus 로고
    • A generalization of quasi-Frobenius rings
    • B. Osofsky, A generalization of quasi-Frobenius rings, J. Algebra 4 (1966), 373-387.
    • (1966) J. Algebra , vol.4 , pp. 373-387
    • Osofsky, B.1
  • 160
    • 84972565601 scopus 로고
    • Right perfect rings with the extending property on finitely generated free modules
    • D. Phan, Right perfect rings with the extending property on finitely generated free modules, Osaka J. Math. 26 (1989), 265-273.
    • (1989) Osaka J. Math , vol.26 , pp. 265-273
    • Phan, D.1
  • 161
    • 0000376670 scopus 로고
    • Characterizations of generalized uniserial rings
    • V. M. Purav and N. Vanaja, Characterizations of generalized uniserial rings, Comm. Algebra 20 (1992), 2253-2270.
    • (1992) Comm. Algebra , vol.20 , pp. 2253-2270
    • Purav, V.M.1    Vanaja, N.2
  • 162
    • 0009270218 scopus 로고    scopus 로고
    • Kluwer Academic Publishers
    • G. E. Puninski, "Serial Rings", Kluwer Academic Publishers, 2001.
    • (2001) Serial Rings
    • Puninski, G.E.1
  • 163
    • 0003866360 scopus 로고
    • Ph.D. Dissertation, Indiana University
    • M. Rayar, "Small and Cosmall Modules," Ph.D. Dissertation, Indiana University, 1971.
    • (1971) Small and Cosmall Modules
    • Rayar, M.1
  • 165
    • 0002362275 scopus 로고
    • Linearly compact modules and local Morita duality, Proc. Conf. Ring Theory, Utah 1971
    • F. L. Sandomierski, Linearly compact modules and local Morita duality, Proc. Conf. Ring Theory, Utah 1971, Academic Press (1972), 333-346.
    • (1972) Academic Press , pp. 333-346
    • Sandomierski, F.L.1
  • 167
    • 84963087506 scopus 로고
    • On the indecomposable representations of certain class of groups
    • B. Srinivasan, On the indecomposable representations of certain class of groups, Proc. Lond. Math. Soc. 10 (1960), 497-513.
    • (1960) Proc. Lond. Math. Soc , vol.10 , pp. 497-513
    • Srinivasan, B.1
  • 169
    • 0000961483 scopus 로고
    • Rings of quotients of perfect rings
    • H. H. Storrer, Rings of quotients of perfect rings, Math. Z. 122 (1971), 151-165.
    • (1971) Math. Z , vol.122 , pp. 151-165
    • Storrer, H.H.1
  • 170
    • 0009178816 scopus 로고
    • On almost QF-rings
    • T. Sumioka and S. Tozaki, On almost QF-rings, Osaka J. Math. 33 (1986), 649-661.
    • (1986) Osaka J. Math , vol.33 , pp. 649-661
    • Sumioka, T.1    Tozaki, S.2
  • 171
    • 0002141555 scopus 로고
    • Duality theorem of character modules for rings with minimal condition
    • H. Tachikawa, Duality theorem of character modules for rings with minimal condition, Math. Z. 68 (1958), 479-487.
    • (1958) Math. Z , vol.68 , pp. 479-487
    • Tachikawa, H.1
  • 172
    • 0003211856 scopus 로고
    • Quasi-Frobenius Rings and Generalizations
    • Springer-Verlag, Berlin/Heidelberg/New York
    • H. Tachikawa, "Quasi-Frobenius Rings and Generalizations", Lect. Notes Math. 351, Springer-Verlag, Berlin/Heidelberg/New York, 1973.
    • (1973) Lect. Notes Math , vol.351
    • Tachikawa, H.1
  • 173
    • 0040737361 scopus 로고
    • Sur la decomposition des ensembles en sous-ensembles presque disjoints
    • A. Tarski, Sur la decomposition des ensembles en sous-ensembles presque disjoints, Fund. Math. 12 (1928), 188-205.
    • (1928) Fund. Math , vol.12 , pp. 188-205
    • Tarski, A.1
  • 174
    • 20744441928 scopus 로고
    • Some generalizations of quasi-Frobenius algebras
    • R. M. Thrall, Some generalizations of quasi-Frobenius algebras, Trans. Amer. Math. Soc. 64 (1948), 173-183.
    • (1948) Trans. Amer. Math. Soc , vol.64 , pp. 173-183
    • Thrall, R.M.1
  • 175
    • 0001991023 scopus 로고    scopus 로고
    • Characterizations of almost QF rings
    • S. Tozaki, Characterizations of almost QF rings, Osaka J. Math. 36 (1999), 195-201.
    • (1999) Osaka J. Math , vol.36 , pp. 195-201
    • Tozaki, S.1
  • 176
    • 0008977264 scopus 로고
    • On continuous regular rings
    • Y. Utumi, On continuous regular rings, Canad. Math. Bull. 4 (1961), 63-69.
    • (1961) Canad. Math. Bull , vol.4 , pp. 63-69
    • Utumi, Y.1
  • 177
    • 0010899048 scopus 로고
    • Characterization of rings using extending and lifting modules, Ring theory, (Granville, OH)
    • N. Vanaja, Characterization of rings using extending and lifting modules, Ring theory, (Granville, OH), World Sci. Publ., River Edge (1992), 329-342.
    • (1992) World Sci. Publ., River Edge , pp. 329-342
    • Vanaja, N.1
  • 178
    • 33749015160 scopus 로고
    • A note on generalized uniserial rings
    • N. Vanaja and V. N. Purav, A note on generalized uniserial rings, Comm. Algebra 21 (1993), 1153-1159.
    • (1993) Comm. Algebra , vol.21 , pp. 1153-1159
    • Vanaja, N.1    Purav, V.N.2
  • 179
    • 84968517751 scopus 로고
    • A Krull-Schmidt theorem for infinite sums of modules
    • R. B. Warfield, Jr., A Krull-Schmidt theorem for infinite sums of modules, Proc. Amer. Math. Soc. 22 (1969), 460-465.
    • (1969) Proc. Amer. Math. Soc , vol.22 , pp. 460-465
    • Warfield, R.B.1
  • 180
    • 84972529344 scopus 로고
    • Decompositions of injective modules
    • R. B. Warfield, Jr., Decompositions of injective modules, Pacific J. Math.31 (1969), 263-276.
    • (1969) Pacific J. Math , vol.31 , pp. 263-276
    • Warfield, R.B.1
  • 181
    • 0009244455 scopus 로고
    • Self-duality of serial rings
    • J. Waschbüsch, Self-duality of serial rings, Comm. Algebra 14 (1986), 581-590.
    • (1986) Comm. Algebra , vol.14 , pp. 581-590
    • Waschbüsch, J.1
  • 183
    • 84966238232 scopus 로고
    • Two examples of local artinian rings
    • W. Xue, Two examples of local artinian rings, Proc. Amer. Math. Soc.107 (1989), 63-65.
    • (1989) Proc. Amer. Math. Soc , vol.107 , pp. 63-65
    • Xue, W.1
  • 184
    • 0003311586 scopus 로고
    • Rings with Morita Duality
    • SpringerVerlag, Berlin/Heidelberg/New York
    • W. Xue, "Rings with Morita Duality", Lect. Notes Math. 1523, SpringerVerlag, Berlin/Heidelberg/New York, 1992.
    • (1992) Lect. Notes Math , vol.1523
    • Xue, W.1
  • 185
    • 0041754403 scopus 로고    scopus 로고
    • A note on perfect self-injective rings
    • W. Xue, A note on perfect self-injective rings, Comm. Algebra 24 (1996), 749-755.
    • (1996) Comm. Algebra , vol.24 , pp. 749-755
    • Xue, W.1
  • 186
    • 0031585454 scopus 로고    scopus 로고
    • On a theorem of Fuller
    • W. Xue, On a theorem of Fuller, J. Pure Appl. Algebra 122 (1997), 159-168.
    • (1997) J. Pure Appl. Algebra , vol.122 , pp. 159-168
    • Xue, W.1
  • 187
    • 0039901701 scopus 로고    scopus 로고
    • Characterizations of Morita duality via idempotents for semiper-fect rings
    • W. Xue, Characterizations of Morita duality via idempotents for semiper-fect rings, Algebra Colloq. 5 (1998), 99-110.
    • (1998) Algebra Colloq , vol.5 , pp. 99-110
    • Xue, W.1
  • 188
  • 190
    • 26444496641 scopus 로고    scopus 로고
    • On decomposition of strongly quasi-Frobenius rings
    • Y. Yukimoto, On decomposition of strongly quasi-Frobenius rings, Comm. Algebra 28 (2000), 1111-1113.
    • (2000) Comm. Algebra , vol.28 , pp. 1111-1113
    • Yukimoto, Y.1
  • 191
    • 0000011274 scopus 로고
    • Classes of modules with the exchange property
    • B. Zimmerman-Huisgen and W. Zimmerman, Classes of modules with the exchange property, J. Algebra 88 (1984), 416-434.
    • (1984) J. Algebra , vol.88 , pp. 416-434
    • Zimmerman-Huisgen, B.1    Zimmerman, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.