On Graded Classical S-Primary Submodules

Tamem Al-Shorman; Malik Bataineh

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arXiv · 2204.07578

On Graded Classical S-Primary Submodules

Tamem Al-Shorman·Malik Bataineh

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Abstract

The purpose of this article is to introduce the graded classical S-primary submodules which are extensions of graded classical primary submodules. We state that P is a graded classical S-primary submodule of R-module M if there exists $s\in S$ such that $x,y \in h(R)$ and $m \in h(M)$, if $xym \in P$, then $sxm \in P$ or $sy^nm \in P$ for some positive integer n. Several properties and characteristics of graded classical S-primary submodules have been studied.

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Tamem Al-Shorman, Malik Bataineh. 2022-04-15. On Graded Classical S-Primary Submodules. https://arxiv.org/abs/2204.07578

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