$S$-2-absorbing submodules and $S$-2-absorbing second submodules
Commutative Algebra
2020-04-08 v1
Abstract
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and let M be an R-module. In this paper, we introduce the notion of S-2-absorbing second submodules of M as a generalization of S-second submodules and strongly 2-absorbing second submodules of M. We investigate some properties of this class of submodules. Also, we obtain some results concerning S-2-absorbing submodules of M.
Keywords
Cite
@article{arxiv.2004.02875,
title = {$S$-2-absorbing submodules and $S$-2-absorbing second submodules},
author = {Faranak Farshadifar},
journal= {arXiv preprint arXiv:2004.02875},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2003.00412