Modules Whose Endomorphism Rings are Baer
Thoraya Abdelwhab, Xiaoyan Yang
Asian Research Journal of Mathematics · pp. 1–11 · Published 20 Mar 2019
10.9734/arjom/2019/v13i230104Abstract
In this paper, we study modules whose endomorphism rings are Baer, which we call endoBaer modules. We provide some characterizations of endoBaer modules and investigate their properties. Some classes of rings R are characterized in terms of endoBaer R-modules. It is shown that a direct summand of an endoBaer modules inherits the property, while a direct sum of endoBaer modules does not. Necessary and sucient conditions for a nite direct sum of endoBaer modules to be an endoBaer module are provided.
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