Modules Whose Endomorphism Rings are Baer

Abdelwhab, Thoraya and Yang, Xiaoyan (2019) Modules Whose Endomorphism Rings are Baer. Asian Research Journal of Mathematics, 13 (2). pp. 1-11. ISSN 2456-477X

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Abstract

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.

Item Type: Article
Subjects: Open STM Article > Mathematical Science
Depositing User: Unnamed user with email support@openstmarticle.com
Date Deposited: 07 Apr 2023 13:01
Last Modified: 30 Jul 2025 05:23
URI: http://articles.sendtopublish.com/id/eprint/491

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