On general principally injective rings

Communications in Algebra

Volumn 27, Issue 5, 1999, Pages 2097-2116

  Chen, Jianlong ^a   Ding, Nanqing ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b NANJING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033245482     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879908826552     Document Type: Article

References (23)

1. F. W. Andersen and K. R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York Heidelberg Berlin, 1973.
2. E. P. Armendariz and J. K. Park, Self-injective rings with restricted chain conditions, Arch. Math. 58(1992), 24-33.
3. G. Azumaya, Finite splitness and finite projectivity, J. Algebra 106 (1987), 114-134.
4. S. H. Brown, Rings over which every simple module is rationally complete, Canad. J.Math. 25(1973), 693-701.
5. V. Camillo, Commutative rings whose principal ideals are annihilators, Portugaliae Math. 46(1) (1989), 33-37.
6. V. Camillo and M. F. Yousif, Continuous rings with ACC on annihilators, Canad. Math. Bull. 34(1991), 462-464.
7. A. W. Chatters and C. R. Hajarnavis, Rings with chain conditions, Pitman Res. Notes Math. Ser. 44, 1980.
8. J. L. Chen, Some characterizations of FP-injective rings and IF rings, J. Math. Res. and Exp. 3(1992), 395-400. MR93h: 16003.
9. N. Q. Ding and J. L. Chen, Rings whose simple singular modules are YJ-injective, Math. Japon. 40(1) (1994), 191-195.
10. C. Faith, Injective modules and injective quotient rings, Lecture Notes in Pure and Appl. Math. 72(1982).
11. K. R. Goodearl, Ring Theory: Nonsingular rings and modules, Monographs Textbooks Pure Appl. Math. 33 (1976).
12. K. R. Goodearl, Von Neumann regular rings, Pitman, London (1979).
13. F. Kasch, Modules and rings, Academic Press, London New York, 1982.
14. S. B. Nam, N. K. Kim and J. Y. Kim, On simple GP-injective modules, Comm. Algebra 23(14) (1995), 5437-5444.
15. W. K. Nicholson and M. F. Yousif, Principally injective rings, J. Algebra 174(1995), 77-93.
16. W. K. Nicholson and M. F. Yousif, On a theorem of Camillo, Comm. Algebra 23(14) (1995), 5309-5314.
17. M. B. Rege, On von Neumann regular rings and SF-rings, Math. Japon. 31(6) (1986), 927-936.
18. E. A. Rutter, Rings with the principal extension property, Comm. Algebra 3(3) (1975), 203-212.
19. Xue Yao, Weakly right duo rings, Pure Appl. Math. Sci. 21(1985), 19-24.
20. R. Yue Chi Ming, On regular rings and self-injective rings I , Glasnik Mat. 18(38) (1983), 221-229.
21. R. Yue Chi Ming, On von Neumann regular rings XI, Bull. Math. Sci. Math. R. S. Roumanie(N. S. )30 (78) (1986), 371-379.
22. R. Yue Chi Ming, On annihilator ideals IV , Riv. Mat. Univ. Parma (4) 13(1987), 19-27
23. Shenglin Zhu, On rings over which every flat left module is finitely projective, J. Algebra 139(1991), 311-321.