On S-primary submodules

Year 2022, Volume: 31 Issue: 31, 74 - 89, 17.01.2022

H. Ansarı-toroghy S. S. Pourmortazavi

https://doi.org/10.24330/ieja.1058417

Cited By: 4

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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