On Graded S-Primary Submodules of Graded Modules Over Graded Commutative Rings

Abstract

Let $G$ be a group, $R$ be a $G$-graded commutative ring with identity, $M$ be a graded $R$-module and $S\subseteq h(R)$ be a multiplicatively closed subset of $R$. In this paper, a new concept of graded $S$-primary submodules of $M$ is introduced as a generalization of graded Primary submodules as well as a generalization of graded $S$-prime submodules of $M$. Also, some properties of this class are investigated.