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arXiv · 2008.06886

On graded $A$-2-absorbing submodules of graded modules over graded commutative rings

Khaldoun Al-Zoubi·Saba Al-Kaseasbeh
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Abstract

Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring, $M$ a graded $R$-module and $A\subseteq h(R)$ a multiplicatively closed subset of $R$. In this paper, we introduce the concept of graded $A$-2-absorbing submodules of $M$ as a generalization of graded 2-absorbing submodules and graded $A$-prime submodules of $M.$ We investigate some properties of this class of graded submodules.

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Khaldoun Al-Zoubi, Saba Al-Kaseasbeh. 2020-08-16. On graded $A$-2-absorbing submodules of graded modules over graded commutative rings. https://doi.org/10.30755/nsjom.12403

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