On graded \(A\)-2-absorbing submodules of graded modules over graded commutative rings

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...

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Bibliographic Details
Published in:arXiv.org 2020-12
Main Authors: Al-Zoubi, Khaldoun, Al-Kaseasbeh, Saba
Format: Article
Language:English
Subjects:
Commutativity
Group theory
Modules
Rings (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2008.06886