$z^\circ$-submodules of a reduced multiplication module
Commutative Algebra
2025-05-16 v1
Abstract
Let R be a commutative ring with identity and M be an R-module. A proper ideal I of R is said to be a -ideal if for each the intersection of all minimal prime ideals containing a is contained in I. The purpose of this paper is to introduce the notion of -submodules of M as an extension of -ideals of R. Moreover, we investigate some properties of this class of submodules when M is a reduced multiplication R-module.
Cite
@article{arxiv.2505.09961,
title = {$z^\circ$-submodules of a reduced multiplication module},
author = {F. Farshadifar},
journal= {arXiv preprint arXiv:2505.09961},
year = {2025}
}