메뉴 건너뛰기




Volumn 40, Issue 2, 1998, Pages 223-236

A characterization of minimal prime ideals

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85011437026     PISSN: 00170895     EISSN: 1469509X     Source Type: Journal    
DOI: 10.1017/S0017089500032547     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 0010633637 scopus 로고
    • Rings without nilpotent elements and completely simple ideals
    • (Translation, Soviet Math. Dokl., 9, 1968, 565–568).
    • Andrunakievic V. A. and Rjabuhin Ju. M., Rings without nilpotent elements and completely simple ideals, Dokl. Akad. Nauk. SSSR. 180 (1968), 9–11 (Translation, Soviet Math. Dokl. 9 (1968), 565–568).
    • (1968) Dokl. Akad. Nauk. SSSR. , vol.180 , pp. 9-11
    • Andrunakievic, V.A.1    Rjabuhin, J.M.2
  • 2
    • 0001585896 scopus 로고
    • Radical ideals
    • Baer R., Radical ideals, Amer. J. Math. 65 (1943), 537–568.
    • (1943) Amer. J. Math. , vol.65 , pp. 537-568
    • Baer, R.1
  • 5
    • 84966218725 scopus 로고
    • A connection between weak regularity and the simplicity of prime factor rings
    • Birkenmeier G. F., Kim J. Y. and Park J. K., A connection between weak regularity and the simplicity of prime factor rings, Proc. Amer. Math. Soc. 122 (1994), 53–58.
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 53-58
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 6
    • 0031567054 scopus 로고    scopus 로고
    • Regularity conditions and the simplicity of prime factor rings
    • Birkenmeier G. F., Kim J. Y. and Park J. K., Regularity conditions and the simplicity of prime factor rings, J. Pure Appl. Algebra 115 (1997), 213–230.
    • (1997) J. Pure Appl. Algebra , vol.115 , pp. 213-230
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 7
    • 84972556816 scopus 로고
    • On the von Neumann regularity of rings with prime factor rings
    • Fisher J. W. and Snider R. L., On the von Neumann regularity of rings with prime factor rings, Pacific J. Math. 54 (1974), 135–144.
    • (1974) Pacific J. Math. , vol.54 , pp. 135-144
    • Fisher, J.W.1    Snider, R.L.2
  • 8
    • 0000456016 scopus 로고
    • Some studies on strongly π-regular rings
    • Hirano Y., Some studies on strongly π-regular rings, Math. J. Okayama Univ. 20 (1978), 141–149.
    • (1978) Math. J. Okayama Univ , vol.20 , pp. 141-149
    • Hirano, Y.1
  • 9
    • 0030304407 scopus 로고    scopus 로고
    • On rings whose prime radical contains all nilpotent elements of index two
    • Hirano Y., Huynh D. V. and Park J. K., On rings whose prime radical contains all nilpotent elements of index two, Arch. Math. 66 (1996), 360–365.
    • (1996) Arch. Math , vol.66 , pp. 360-365
    • Hirano, Y.1    Huynh, D.V.2    Park, J.K.3
  • 10
    • 84966259949 scopus 로고
    • Representation of algebras by continuous sections
    • Hofmann K. H., Representation of algebras by continuous sections, Bull. Amer. Math. Soc. 78 1972), 291–373.
    • (1972) Bull. Amer. Math. Soc , vol.78 , pp. 291-373
    • Hofmann, K.H.1
  • 11
    • 0013349808 scopus 로고
    • Minimal prime ideals in commutative semigroups
    • Kist J., Minimal prime ideals in commutative semigroups, Proc. London Math. Soc. 13 (1963), 31–50.
    • (1963) Proc. London Math. Soc , vol.13 , pp. 31-50
    • Kist, J.1
  • 12
    • 0001556698 scopus 로고
    • On functional representations of a ring without nilpotent elements
    • Koh K., On functional representations of a ring without nilpotent elements, Canad. Math. Bull. 14 (1971), 349–352.
    • (1971) Canad. Math. Bull , vol.14 , pp. 349-352
    • Koh, K.1
  • 13
    • 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, Pacific J. Math. 41 (1972), 459–468.
    • (1972) Pacific J. Math , vol.41 , pp. 459-468
    • Koh, K.1
  • 14
    • 0000011227 scopus 로고
    • On the representation of modules by sheaves of factor modules
    • Lambek J., On the representation of modules by sheaves of factor modules, Canad. Math. Bull. 14 (1971), 359–368.
    • (1971) Canad. Math. Bull , vol.14 , pp. 359-368
    • Lambek, J.1
  • 15
    • 0002374403 scopus 로고
    • Semigroups satisfying permutation identities
    • Putcha M. and Yaqub A., Semigroups satisfying permutation identities, Semigroup Forum 3 (1971), 68–73.
    • (1971) Semigroup Forum , vol.3 , pp. 68-73
    • Putcha, M.1    Yaqub, A.2
  • 16
    • 74849085697 scopus 로고
    • Rings satisfying monomial identities
    • Putcha M. and Yaqub A., Rings satisfying monomial identities, Proc. Amer. Math. Soc. 32 (1972), 52–56.
    • (1972) Proc. Amer. Math. Soc , vol.32 , pp. 52-56
    • Putcha, M.1    Yaqub, A.2
  • 17
    • 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. Amer. Math. Soc. 184 (1973), 43–60.
    • (1973) Trans. Amer. Math. Soc , vol.184 , pp. 43-60
    • Shin, G.1
  • 18
    • 84972562024 scopus 로고
    • Semi-simple radical classes
    • Stewart P. N., Semi-simple radical classes, Pacific J. Math. 32 (1970), 249–255.
    • (1970) Pacific J. Math , vol.32 , pp. 249-255
    • Stewart, P.N.1
  • 19
    • 0000140495 scopus 로고
    • Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
    • Sun S.-H., Noncommutative rings in which every prime ideal is contained in a unique maximal ideal, J. Pure Appl. Algebra 76 (1991), 179–192.
    • (1991) J. Pure Appl. Algebra , vol.76 , pp. 179-192
    • Sun, S.-H.1
  • 20
    • 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, Comm. Algebra 22 (2) (1994), 687–696.
    • (1994) Comm. Algebra , vol.22 , Issue.2 , pp. 687-696
    • Sun, S.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.