Centrally endo-AIP Modules
Rings and Algebras
2022-09-20 v1
Abstract
In this paper, we introduce the concept of centrally endo-AIP modules. We call a module M centrally endo-AIP, if the left annihilator of any fully invariant submodule N of M in the endomorphism ring S = End(M) is a centrally s-unital ideal of S. We discuss some properties of centrally endo-AIP modules. We also study the endomorphism ring of centrally endo-AIP modules and characterize quasi-Baer modules in terms of centrally endo-AIP modules
Cite
@article{arxiv.2209.08519,
title = {Centrally endo-AIP Modules},
author = {Shiv Kumar and Ashok Ji Gupta},
journal= {arXiv preprint arXiv:2209.08519},
year = {2022}
}