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A countable self-injective ring is quasi-Frobenius

  • Published:1977 Issue:2 Volume:65 Page:217-220
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Lawrence John

Abstract

A countable dimensional self-injective algebra is Artinian. There is an application to self-injective twisted group algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Rings with ascending condition on annihilators;Faith, Carl;Nagoya Math. J.,1966

2. Self-injective group algebras;Farkas, Daniel;J. Algebra,1973

3. A note on injective group rings;Gentile, Enzo R.;Proc. Amer. Math. Soc.,1969

4. Semilocal group rings and tensor products;Lawrence, John;Michigan Math. J.,1975

5. Radicals of twisted group rings;Passman, D. S.;Proc. London Math. Soc. (3),1970

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1. Results related to self-injectivity of the group ring;São Paulo Journal of Mathematical Sciences;2020-06-25

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