on direct sums of baer modules

Similar items

• Criteria for a direct sum of modules to be a multiplication module over noncommutative rings

  Open-access article2021Journal of Algebra['T. Alsuraiheed', 'V. V. Bavula', '']

  We study multiplication modules. The rings are not assumed to be commutative. Several criteria with some applications given for a direct sum of modules module.

• The sum-product splitting property and injective direct sums of modules over von Neumann regular rings

  Open-access article1981Proceedings of the American Mathematical SocietyBirgeZimmermann-Huisgen

• Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals

  Open-access article2011Journal of Pure and Applied AlgebraAfshinAmini, BabakAmini, AlbertoFacchini

• Theorems on direct sums of modules

  Open-access article1962Proceedings of the American Mathematical SocietyChin-shuiHs{ü

• On lifting Baer modules

  Article2023Journal of Algebra and Related TopicsY. Talebi, F. Bakhshandeh

  We introduce the notion of lifting Baer modules, as a generalization of both Baer and lifting modules and give some of their properties. A module $M$ is called lifting Baer if right annihilator of a left ideal of ${\rm End}(M)$ lies above a direct summand of M. Also, we define th

• On quasi-baer modules

  Article2016Journal of Linear and Topological Algebra (JLTA)M. Shafiee-Mousavi

  Let $R$ be a ring, $sigma$ be an endomorphism of $R$ and $M_R$ be a $sigma$-rigid module. A module $M_R$ is called quasi-Baer if the right annihilator of a principal submodule of $R$ is generated by an idempotent. It is shown that an $R$-module $M_R$ is a quasi-Baer module if and