On S-primary submodules

Abstract

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

Keywords

• Multiplicatively closed subset
• prime submodule
• $S$-prime submodule
• primary submodule
• $S$-primary submodule

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