A note on quasi-Frobenius rings-Reference-Cited by-同舟云学术

A note on quasi-Frobenius rings

Published:1996 Issue:2 Volume:124 Page:371-375
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Huynh Dinh,Tung Ngo

Abstract

It is shown that a semiperfect ring R R is quasi-Frobenius if and only if every closed submodule of R ( ω ) R(\omega ) is non-small, where R ( ω ) R(\omega ) denotes the direct sum of ω \omega copies of the right R R -module R R and ω \omega is the first infinite ordinal.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-02/S0002-9939-96-03303-5/S0002-9939-96-03303-5.pdf

Reference12 articles.

1. Graduate Texts in Mathematics, Vol. 13;Anderson, Frank W.,1974

2. Rings in which every complement right ideal is a direct summand;Chatters, A. W.;Quart. J. Math. Oxford Ser. (2),1977

3. When is a self-injective semiperfect ring quasi-Frobenius?;Clark, John;J. Algebra,1994

4. [4] C. Faith, Algebra II: Ring Theory, Springer-Verlag, Berlin - New York, 1976.

5. [5] C. Faith, When self-injective rings are QF: A report on a problem, Centre Recerca Matematica Institut d’Estudis Catalans, (Spain), 1990.

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