On S-primary submodules

Authors : H ANSARITOROGHY, S S POURMORTAZAVİ

Pages : 74-89

Doi:10.24330/ieja.1058417

View : 12 | Download : 15

Publication Date : 2022-01-17

Article Type : Research Paper

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 insert ignore into journalissuearticles values(resp. $S$-prime); submodules properly.
Keywords : Multiplicatively closed subset, prime submodule, S prime submodule, primary submodule, S primary submodule