Results 1 to 10 of about 68 (56)
Zariski topology on the spectrum of graded classical prime submodules [PDF]
Applied General Topology, 2013 Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. A proper graded submodule $N$ of $M$ is called graded classical prime if for every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
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Prime Submodules of Graded Modules [PDF]
Proyecciones (Antofagasta), 2012 Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we investigate some results on this submodule.
Abu-Dawwas, Rashid +2 more
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GRADED I-PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2023 Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray +3 more
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On graded classical B-2-absorbing submodules
Heliyon, 2022 In this paper, we introduce the concept of graded classical B-2-absorbing submodule as a generalization of graded classical 2-absorbing submodule and we give a number of results concerning such graded modules.
Khaldoun Al-Zoubi +2 more
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On Graded Jgr-Prime Submodules
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also,
M. Alnimer, K. Al-Zoubi, M. Al-Dolat
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On graded 2-absorbing $I_{e}$-prime submodules of graded modules over graded commutative rings
AIMS Mathematics, 2020 Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded commutative ring with identity and $M$ a graded $R$-module. In this paper, we introduce the concept of graded 2-absorbing $I_{e}$-prime submodule as a generalization of a graded 2-absorbing prime submodule for $\ I = \oplus _{g\in G}I_{g}$ a fixed graded ideal of $R$.
Shatha Alghueiri, Khaldoun Al-Zoubi
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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
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On graded $ s $-prime submodules
AIMS Mathematics, 2020 <abstract> <p>In this article, we introduce the concepts of graded $ s $-prime submodules which is a generalization of graded prime submodules. We study the behavior of this notion with respect to graded homomorphisms, localization of graded modules, direct product, and idealization. We succeeded to prove the existence of graded $ s $-prime
Hicham Saber +2 more
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, 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 +2 more
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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.
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