Self-cogenerator modules and their applications

Document Type : Research Paper

Authors

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

Abstract

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 = E n d_{R} (M)

is a cononsingular ring, then

M

is a

K

-module. It is shown that every self-cogenerator Baer is dual Baer.

Keywords