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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 41, No. 1, pp. 257-266 (2000)
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#
Quasi-Frobenius Modules

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Adil G. Naoum\qquad Layla S. M. Al-Shalgy

Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq Department of Mathematics, College of Education (Iben Al-Haitham), University of Baghdad, Baghdad, Iraq

**Abstract:** Let $R$ be a commutative ring with 1, and let $M$ be a faithful $R$-module. We say that $M$ is a quasi-Frobenius (in short QF) module if $\Hom_R(P,M)$ is either zero or a simple $R$-module for each simple $R$-module $P$. In this paper we give some charakterizations of QF modules and we study the relation between QF modules and multiplication modules.

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