Results 11 to 20 of about 68 (56)
On graded $S$-comultiplication modules
, 2022 In this paper, we introduce the concept of graded $S$-comultiplication modules. Several results concerning graded $S$-comultiplication modules are proved.
Hamoda, Mohammad, Al-Zoubi, Khaldoun
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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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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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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 +2 more
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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 +1 more
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Metabelian Lie powers of the natural module for a general linear group
, 2016 Consider a free metabelian Lie algebra M of finite rank r over an infinite field K of prime characteristic p. Given a free generating set, M acquires a grading; its group of graded automorphisms is the general linear group GLr(K), so each homogeneous ...
Kovacs, L, Erdmann, Karin
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GRADED SUBMODULES WITH PSEUDO IRREDUCIBLE, PSEUDO PRIME AND STRICTLY NON-PRIME COMPONENTS [PDF]
International Journal of Pure and Apllied Mathematics, 2014 فليكن G مجموعة. فليكن R حلقة متدرجة G متبادلة، و M تكون وحدة R متدرجة و N تكون وحدة فرعية R متدرجة من M. في هذه الورقة، ندرس بعض الحالات عندما تكون R حلقة متدرجة بقوة والمكون N ه من N هو بدقة غير رئيس الوزراء، رئيس الوزراء الزائفة أو الزائفة غير قابل للاختزال R ه - submodule.
Rashid Abu-Dawwas, Khaldoun Al-Zoubi
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FINITELY GENERATED GRADED MULTIPLICATION MODULES
, 2011 Let R = ⊕i ∈ ℤRi be a ℤ-graded ring and M = ⊕i ∈ ℤMi be a graded R-module. Providing some results on graded multiplication modules, some equivalent conditions for which a finitely generated graded R-module to be graded multiplication will be given.
NASER ZAMANI
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, 2017 summary:We study some properties of generalized reduced Verma modules over $\mathbb {Z}$-graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and coinduced modules are obtained.
Zheng, Keli, Zhang, Yongzheng
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