Self-cogenerator modules and their applications

Document Type : Research Paper


Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran


Let $R$ be a ring and $M$ be a right $R$-module. In this paper, we give some properties of self-cogenerator
modules. If $M$ is self-cogenerator and $S = End_{R}(M)$ is a cononsingular ring, then $M$ is a
$\mathcal{K}$-module. It is shown that every self-cogenerator Baer is dual Baer.