Results 11 to 20 of about 120 (101)

On graded prime and primary submodules

Turkish Journal of Mathematics, 2011
Let G be a multiplicative group. Let R be a G-graded commutative ring and M a G-graded R-module. Various properties of graded prime submodules and graded primary submodules of M are discussed. We have also discussed the graded radical of graded submodules of multiplication graded R-modules.
TEKİR, ÜNSAL, Oral, Kursat Hakan, AĞARGÜN, Ahmet Göksel   +2 more
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Graded pseudo weakly prime spectrum of graded topological modules [PDF]

Applied General Topology
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman, Malik Bataineh, Melis Bolat, Bayram Ali Ersoy   +3 more
doaj   +2 more sources

On graded 2-classical prime submodules of graded modules over graded commutative rings

Proyecciones (Antofagasta), 2019
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-classical prime submodules. Various properties of graded 2-classical prime submodules are considered.
Khaldoun Falah Al-Zoubi, Farah Al-Turman
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On Graded φ−Prime Submodules

, 2021
Let $R$ be a graded commutative ring with non-zero unity $1$ and $M$ be a graded unitary $R$-module. Let $GS(M)$ be the set of all graded $R$-submodules of $M$ and $ϕ: GS(M)\rightarrow GS(M)\bigcup\{\emptyset\}$ be a function. A proper graded $R$-submodule $K$ of $M$ is said to be a graded $ϕ-$prime $R$-submodule of $M$ if whenever $r$ is a homogeneous
Alshehry, Azzh Saad, Bataineh, Malik, Abu-Dawwas, Rashid   +2 more
openaire   +2 more sources

Zariski topology on the spectrum of fuzzy classical primary submodules [PDF]

, 2022
[EN] Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Panpho, Phakakorn, Yiarayong, Pairote
core   +1 more source

Notes on the graded prime submodules [PDF]

International Mathematical Forum, 2006
Summary: Let \(G\) be a monoid with identity \(e\), and let \(R\) be a \(G\)-graded commutative ring. Here we study the graded prime submodules of a graded \(R\)-module. While the bulk of this work is devoted to extending some results from prime submodules to graded prime submodules. A number of results concerning of these class of submodules are given.
Ebrahimi Atani, S., Farzalipour, F.
openaire   +1 more source

On Graded $1$-Absorbing Prime Submodules

, 2021
Let $G$ be a group with identity $e$, $R$ be a commutative $G$-graded ring with unity $1$ and $M$ be a $G$-graded unital $R$-module. In this article, we introduce the concept of graded $1$-absorbing prime submodule. A proper graded $R$-submodule $N$ of $M$ is said to be a graded $1$-absorbing prime $R$-submodule of $M$ if for all non-unit homogeneous ...
Ka'abneh, Ahmad, Abu-Dawwas, Rashid
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On Graded Quasi-Prime Submodules

Kyungpook mathematical journal, 2015
Summary: 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 quasi-prime submodules and give some basic results about graded quasi-prime submodules of graded modules.
Al-Zoubi, Khaldoun, Abu-Dawwas, Rashid
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Graded S-1-absorbing prime submodules in graded multiplication modules

International Electronic Journal of Algebra, 2022
Let $G$ be a group with identity $e$. Let $R$ be a commutative $G$-graded ring with non-zero identity, $S\subseteq h(R)$ a multiplicatively closed subset of $R$ and $M$ a graded $R$-module. In this article, we introduce and study the concept of graded $S$-1-absorbing prime submodules.
FARZALIPOUR, Farkhondeh, GHIASVAND, Peyman   +1 more
openaire   +4 more sources

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

, 2020
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 $R$.
Al-Kaseasbeh, Saba, Al-Zoubi, Khaldoun
core   +1 more source