English

Fully $S$-coidempotent modules

Commutative Algebra 2020-08-13 v1

Abstract

Let R be be a commutative ring with identity and S be a multiplicatively closed subset of R. In this article we introduce the concepts of S-coidempotent submodules and fully S-coidempotent R-modules as generalizations of coidempotent submodules and fully coidempotent R-modules. We explore some basic properties of these classes of R-modules.

Keywords

Cite

@article{arxiv.2008.05135,
  title  = {Fully $S$-coidempotent modules},
  author = {F. Farshadifar and H. Ansari-Toroghy},
  journal= {arXiv preprint arXiv:2008.05135},
  year   = {2020}
}