English

On S-primary submodules

Commutative Algebra 2020-09-22 v1

Abstract

Let RR be a commutative ring with identity, SS a multiplicatively closed subset of RR, and MM be an RR-module. In this paper, we study and investigate some properties of SS-primary submodules of MM. Among the other results, it is shown that this class of modules contains the family of primary (resp. SS-prime) submodules properly.

Keywords

Cite

@article{arxiv.2009.09507,
  title  = {On S-primary submodules},
  author = {H. Ansari-Toroghy and S. S. Pourmortazavi},
  journal= {arXiv preprint arXiv:2009.09507},
  year   = {2020}
}