Results 31 to 40 of about 68 (56)

ON GRADED S-PRIME SUBMODULES OF GRADED MODULES OVER GRADED COMMUTATIVE RINGS

Advances in Mathematics: Scientific Journal, 2021
Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded commutative ring with identity, $M$ a graded $R$-module and $S\subseteq h(R)$ a multiplicatively closed subset of $R$. In this paper, we introduce the concept of graded $S$-prime submodules of graded modules over graded commutative rings. We investigate some properties of this class
K. Al-Zoubi, M. Al-Azaizeh
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A generalization of graded prime submodules over non-commutative graded rings

2020
Summary: Let \(G\) be a group with identity \(e\). Let \(R\) be an associative \(G\)-graded ring and \(M\) be a \(G\)-graded \(R\)-module. In this article, we intruduce the concept of graded 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.
Ghiasvand, P., Farzalipour, F.
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Some properties of graded 2-prime submodules

Asian-European Journal of Mathematics, 2015
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded 2-prime submodule and we give a number of results concerning such modules. Also, we introduce and prove the graded 2-prime avoidance theorem for graded modules.
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Graded Le-Jgr-prime submodules in commutative graded rings

Journal of Discrete Mathematical Sciences & Cryptography
In this paper, we introduce the concept of gr-Le-Jgr-PSub in the context of graded commutative rings and graded modules. These submodules extend and unify the properties of gr-Le-PSub and gr-J_gr-PSub through a fixed gr-Id L=⊕g∈Ω Lg. The research develops foundational definitions, proves equivalences, and examines the structural implications of these ...
Shatha Alghueiri, Khaldoun Al-Zoubi
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On graded-(m,n)-prime submodules of graded modules

Journal of Algebra and Its Applications
Let [Formula: see text] be an abelian group written additively and [Formula: see text] be a commutative graded ring of type [Formula: see text] with identity. Let [Formula: see text] and [Formula: see text] be positive integers. We define a proper graded submodule [Formula: see text] of a [Formula: see text]-graded [Formula: see text]-module [Formula:
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SOME PROPERTIES OF GRADED PRIME AND GRADED WEAKLY PRIME SUBMODULES

Far East Journal of Mathematical Sciences (FJMS), 2017
Khaldoun Al-Zoubi, Boshra Rabab’a
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Some results on graded $S$-strongly prime submodules

Journal of Linear and Topological Algebra,13(1 ...
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An intersection condition for graded prime submodules in \(gr\)-multiplication modules

2018
In this paper, the authors study graded modules over \(G\)-graded commutative rings, where \(G\) is a group. Especially, they study condition \((*)\) for a gr-multiplication module \(M\): every prime submodule of \(M\) containing an intersection of a family of gr-submodules of \(M\), contains one of the submodules in this family.
Al-Zoubi, Khaldoun, Qarqaz, Feda'a
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On graded $J_{gr}$-classical prime submodules

2021
Al-Zoubi, khaldoun, Alghueiri, Shatha
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On Graded 2-Prime Ideals

Mathematics, 2021
Malik Bataineh, Rashid Abu-Dawwas
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