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arXiv · 2309.15219

Modules with commutative endomorphism rings

Sayed Malek Javdannezhad
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Abstract

In this paper we review and study $R$-modules $M$ for which $S = End_R(M)$ is commutative. For this, we define the concept of center of modules which is a natural generalization of the center of rings. The properties of center of modules, submodules and direct products and also, modules whose bi-endomorphism rings are commutative, have been considered. More generally, we study the sequence of the endomorphism rings and define the endo-commutativity dimension of modules.

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Sayed Malek Javdannezhad. 2023-09-26. Modules with commutative endomorphism rings. https://arxiv.org/abs/2309.15219

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