nil-$M$-Noetherian and nil-$M$-Artinian modules
Commutative Algebra
2025-06-04 v2
Abstract
Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts.
Cite
@article{arxiv.2501.06696,
title = {nil-$M$-Noetherian and nil-$M$-Artinian modules},
author = {Faranak Farshadifar},
journal= {arXiv preprint arXiv:2501.06696},
year = {2025}
}