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Volumn 30, Issue 2, 2002, Pages 787-801

Rings containing ideals with bounded index

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EID: 0036002726     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120013182     Document Type: Article
Times cited : (6)

References (20)
  • 1
  • 2
    • 0001780181 scopus 로고
    • Quotient rings of semiprime rings with bounded index
    • Hannah, J. Quotient Rings of Semiprime Rings with Bounded Index. Glasgow Math. J. 1982, 23, 53-64.
    • (1982) Glasgow Math. J. , vol.23 , pp. 53-64
    • Hannah, J.1
  • 3
    • 0010633637 scopus 로고    scopus 로고
    • Rings without nilpotent elements and completely simple ideals
    • Andrunakievič V.A.; Rjabuhin Ju. M. Rings Without Nilpotent Elements and Completely Simple Ideals. Dokl. Akad. Nauk SSSR 180, 9-11; English transl, in Soviet Math. Dokl. 1968, 8, 565-568.
    • Dokl. Akad. Nauk SSSR , vol.180 , pp. 9-11
    • Andrunakievič, V.A.1    Rjabuhin, Ju.M.2
  • 4
    • 0010570132 scopus 로고
    • English transl.
    • Andrunakievič V.A.; Rjabuhin Ju. M. Rings Without Nilpotent Elements and Completely Simple Ideals. Dokl. Akad. Nauk SSSR 180, 9-11; English transl, in Soviet Math. Dokl. 1968, 8, 565-568.
    • (1968) Soviet Math. Dokl. , vol.8 , pp. 565-568
  • 6
    • 0001585896 scopus 로고
    • Radical ideals
    • Baer, R. Radical Ideals. Amer. J. Math. 1943, 65, 537-568.
    • (1943) Amer. J. Math. , vol.65 , pp. 537-568
    • Baer, R.1
  • 7
    • 84968510915 scopus 로고
    • Prime rings satisfying a polynomial identity
    • Posner, E.C. Prime Rings Satisfying a Polynomial Identity. Proc. Amer. Math. Soc. 1960, 11, 180-183.
    • (1960) Proc. Amer. Math. Soc. , vol.11 , pp. 180-183
    • Posner, E.C.1
  • 8
    • 84966257954 scopus 로고
    • On semiprime rings of bounded index
    • Armendariz, E.P. On Semiprime Rings of Bounded Index. Proc. Amer. Math. Soc. 1982, 85, 146-148.
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 146-148
    • Armendariz, E.P.1
  • 9
    • 0010535419 scopus 로고
    • Self-injective rings and the minimal direct summand containing the nilpotents
    • Birkenmeier, G.F. Self-injective Rings and the Minimal Direct Summand Containing the Nilpotents. Comm. Algebra 1976, 4, 705-721.
    • (1976) Comm. Algebra , vol.4 , pp. 705-721
    • Birkenmeier, G.F.1
  • 10
    • 0000679717 scopus 로고
    • Idempotents and completely semiprime ideals
    • Birkenmeier, G.F. Idempotents and Completely Semiprime Ideals. Comm. Algebra 1983, 11, 567-580.
    • (1983) Comm. Algebra , vol.11 , pp. 567-580
    • Birkenmeier, G.F.1
  • 11
    • 0030304062 scopus 로고    scopus 로고
    • Right complement bounded semi-prime rings
    • Abulkheir, H.E.; Birkenmeier, G.F. Right Complement Bounded Semi-prime Rings. Acta Math. Hung. 1996, 70, 227-235.
    • (1996) Acta Math. Hung. , vol.70 , pp. 227-235
    • Abulkheir, H.E.1    Birkenmeier, G.F.2
  • 12
    • 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. London Math. Soc. 1980, 21, 434-444.
    • (1980) J. London Math. Soc. , vol.21 , pp. 434-444
    • Chatters, A.W.1    Khuri, S.M.2
  • 13
    • 84963451052 scopus 로고
    • A generalization of FPF rings
    • Birkenmeier, G.F. A Generalization of FPF Rings. Comm. Algebra 1989, 17, 855-884.
    • (1989) Comm. Algebra , vol.17 , pp. 855-884
    • Birkenmeier, G.F.1
  • 14
    • 84972528449 scopus 로고
    • Prime rings with a one-sided ideal satisfying a polynomial identity
    • Belluce, L.P.; Jain, S.K. Prime Rings with a One-sided Ideal Satisfying a Polynomial Identity. Pacific J. Math. 1968, 24, 421-424.
    • (1968) Pacific J. Math. , vol.24 , pp. 421-424
    • Belluce, L.P.1    Jain, S.K.2
  • 15
    • 84966256861 scopus 로고
    • Structure of semiprime PI-rings
    • Fisher, J.W. Structure of Semiprime PI-rings. Proc. Amer. Math. Soc. 1973, 39, 465-467.
    • (1973) Proc. Amer. Math. Soc. , vol.39 , pp. 465-467
    • Fisher, J.W.1
  • 16
    • 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. Amer. Math. Soc. 1973, 79, 219-223.
    • (1973) Bull. Amer. Math. Soc. , vol.79 , pp. 219-223
    • Rowen, L.H.1
  • 17
    • 84972562024 scopus 로고
    • Semi-simple radical classes
    • Stewart, P.N. Semi-simple Radical Classes. Pacific J. Math. 1970, 32, 249-255.
    • (1970) Pacific J. Math. , vol.32 , pp. 249-255
    • Stewart, P.N.1
  • 18
    • 0010573183 scopus 로고
    • Does every right ideal of a matrix ring contain a nilpotent element?
    • Birkenmeier, G.F.; Tucci, R.P. Does Every Right Ideal of a Matrix Ring Contain a Nilpotent Element?. Amer. Math. Monthly 1977, 84, 631-633.
    • (1977) Amer. Math. Monthly , vol.84 , pp. 631-633
    • Birkenmeier, G.F.1    Tucci, R.P.2
  • 19
    • 0002945727 scopus 로고
    • Inverses and zero divisors in matrix rings
    • Shepherdson, J.C. Inverses and Zero Divisors in Matrix Rings. Proc. London Math. Soc. 1951, 3 (1), 71-85.
    • (1951) Proc. London Math. Soc. , vol.3 , Issue.1 , pp. 71-85
    • Shepherdson, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.