Results 1 to 10 of about 83 (73)
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 $ 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
Rashid Abu-Dawwas
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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 Ie-prime submodules of graded modules over graded commutative rings
Publications De L'Institut Mathematique, 2021 Let G be a group with identity e. Let R be a G-graded commutative ring with identity and M a graded R-module. We introduce the concept of graded Ie-prime submodule as a generalization of a graded prime submodule for I =?g?G Ig a fixed graded ideal of R.
Shatha Alghueiri, Khaldoun Al-Zoubi
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Zariski topology on the spectrum of graded classical prime submodules
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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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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On graded classical B-2-absorbing submodules [PDF]
Heliyon, 2022 Khaldoun Al-Zoubi, Mohammad Alkhatib
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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
openaire +4 more sources
Applied General Topology, 2022 Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M)
Saif Salam, Khaldoun Al-Zoubi
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Demonstratio Mathematica, 2021 Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded ...
Bataineh Malik, Abu-Dawwas Rashid
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