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arXiv · 2101.11151

On Graded 2-Absorbing Coprimary Submodules

Malik Bataineh·Rashid Abu-Dawwas
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Abstract

The aim of this article is to introduce the concept of graded $2$-absorbing coprimary submodules as a generalization of graded strongly $2$-absorbing second submodules, and explore some properties of this class. A non-zero graded $R$-submodule $N$ of a graded $R$-module $M$ is called a graded $2$-absorbing coprimary $R$-submodule if whenever $x, y$ are homogeneous elements of $R$ and $K$ is a graded $R$-submodule of $M$ such that $xyN\subseteq K$, then either $x$ or $y$ is in the graded radical of $(K :_{R} N)$ or $xy\in Ann_{R}(N)$. Several results have been achieved.

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Malik Bataineh, Rashid Abu-Dawwas. 2021-01-27. On Graded 2-Absorbing Coprimary Submodules. https://arxiv.org/abs/2101.11151

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