English

$S$-secondary submodules of a module

Commutative Algebra 2020-08-25 v3

Abstract

Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and let M be an R-module. The aim of this paper is to introduce the notion of S-secondary submodules of M as a generalization of secondary submodules of M and investigate some properties of this class of submodules.

Keywords

Cite

@article{arxiv.2003.00412,
  title  = {$S$-secondary submodules of a module},
  author = {Faranak Farshadifar},
  journal= {arXiv preprint arXiv:2003.00412},
  year   = {2020}
}
R2 v1 2026-06-23T13:59:08.672Z