Modules with commutative endomorphism rings
Commutative Algebra
2024-09-10 v3
Abstract
In this paper we review and study -modules for which 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.
Cite
@article{arxiv.2309.15219,
title = {Modules with commutative endomorphism rings},
author = {Sayed Malek Javdannezhad},
journal= {arXiv preprint arXiv:2309.15219},
year = {2024}
}
Comments
The paper has some non valid results and should be revised. Since it takes some times, I prefer to withdraw it. Best Regards