Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A note on quasi-Frobenius rings

Author(s): Dinh Van Huynh; Ngo Si Tung
Journal: Proc. Amer. Math. Soc. 124 (1996), 371-375.
MSC (1991): Primary 16L60, 16D50
MathSciNet review: 1322929
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Abstract: It is shown that a semiperfect ring $R$ is quasi-Frobenius if and only if every closed submodule of $R(\omega )$ is non-small, where $R(\omega )$ denotes the direct sum of $\omega$ copies of the right $R$ -module $R$ and $\omega$ is the first infinite ordinal.

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