S-copure submodules of a module

[摘要] ‎Let $R$ be a commutative ring with identity‎, ‎$S$ be a multiplicatively closed subset of $R$‎, ‎and $M$ be an $R$-module‎. ‎The aim of this paper is to introduce the notion of $S$-copure submodules and investigate some properties of this class of modules‎. ‎We say that a submodule $N$ of $M$ is \emph {$S$-copure} if there exists an $s \in S$ such that $s(N:_MI)\subseteq N+(0:_MI)$ for every ideal $I$ of $R$‎.

[学科分类] 数学（综合）

[关键词] Copure submodule;S-copure submodule;fully S-copure module