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Communications in Algebra Volume 32, 2004 - Issue 6
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Original Articles

FP-Injective, Simple-Injective, and Quasi-Frobenius Rings

Mohamed F. Yousif Department of Mathematics, The Ohio State University, Lima, Ohio, USA
&
Yiqiang Zhou Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada; Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, CanadaCorrespondence[email protected]
Pages 2273-2285 | Received 01 Dec 2002, Published online: 18 Aug 2006

References

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  • Lam , T. Y. 1995 . Exercises in Classical Ring Theory New York : Springer-Verlag .
  • Mochizuki , H. 1965 . Finitistic global dimension for rings . Pacific J. Math. , 15 ( 1 ) : 249 – 258 .
  • Mohamed , S. and Müller , M. J. 1990 . Continuous and Discrete Modules Cambridge : Cambridge University Press .
  • Nicholson , W. K. and Yousif , M. F. 1995 . Principally injective rings . J. Algebra , 174 : 77 – 93 . [CROSSREF]
  • Nicholson , W. K. and Yousif , M. F. 1997a . Mininjective rings . J. Algebra , 187 : 548 – 578 . [CROSSREF]
  • Nicholson , W. K. and Yousif , M. F. 1997b . On perfect simple-injective rings . Proc. AMS. , 125 ( 4 ) : 979 – 985 . [CROSSREF]
  • Nicholson , W. K. and Yousif , M. F. 2001a . “ On quasi-Frobenius rings ” . In International Symposium on Ring Theory 245 – 277 . Birkhauser
  • Nicholson , N. K. and Yousif , M. F. 2001b . FP rings . Comm. Algebra , 29 ( 1 ) : 415 – 425 . [CROSSREF]
  • Nicholson , N. K. and Yousif , M. F. 2001c . Weakly continuous and C2-rings . Comm. Algebra , 29 ( 6 ) : 2429 – 2446 . [CROSSREF]
  • Osofsky , B. L. 1966 . A generalization of quasi-Frobenius rings . J. Algebra , 4 : 373 – 387 . [CROSSREF]
  • Xue , W. 1996 . A note on perfect self-injective rings . Comm. Algebra , 24 ( 2 ) : 749 – 755 .
  • Yousif , M. F. 1997 . On continuous rings . J. Algebra , 191 : 495 – 509 . [CROSSREF]
  • Yousif , M. F. and Zhou , Y. 2002 . Semiregular, semiperfect and perfect rings relative to an ideal . Rocky Mountain J. Math. , 32 ( 4 ) : 1651 – 1671 .
  • #Communicated by I. Swanson.

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