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Almost graded multiplication and almost graded comultiplication modules [PDF]
Demonstratio Mathematica, 2020 AbstractLet G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1 and M be a G-graded R-module. In this article, we introduce and study the concept of almost graded multiplication modules as a generalization of graded multiplication modules; a graded R-module M is said to be almost graded multiplication if whenever a\in ...
Malik Bataineh +2 more
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SEMIPRIME SUBMODULES OF GRADED MULTIPLICATION MODULES [PDF]
Journal of the Korean Mathematical Society, 2012 Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever InKQ, where Ih(R), n is a positive integer, and Kh(M), then IKQ. We characterize semiprime submodules of M.
Sang Cheol Lee, Rezvan Varmazyar
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FINITELY GENERATED GRADED MULTIPLICATION MODULES [PDF]
Glasgow Mathematical Journal, 2011 AbstractLetR= ⊕i∈ ℤRibe a ℤ-graded ring andM= ⊕i∈ ℤMibe a gradedR-module. Providing some results on graded multiplication modules, some equivalent conditions for which a finitely generated gradedR-module to be graded multiplication will be given.
Naser Zamani
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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.
Farkhondeh Farzalipour, Peyman Ghiasvand
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On graded weak multiplication modules
Tamkang Journal of Mathematics, 2012 Let $G$ be a group with identity $e$, and let $R$ be a $G$-graded commutative ring, and let $M$ be a graded $R$-module. In this paper we characterize graded weak multiplication modules.
Peyman Ghiasvand, Farkhonde Farzalipour
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Multiplication and division of fractions based on numerical literacy electronic module for fifth grade elementary school students [PDF]
Jurnal Prima Edukasia, 2022 This research is motivated by the need to provide teaching materials in the form of electronic-based modules (e-modules) integrated with numeracy literacy learning. Where math books are less able to provide delivery related to numeracy literacy. Given the lack of a learning process during the covid 19 period to improve students' abilities in the field ...
Dyah Triwahyuningtyas +3 more
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On generalizations of graded multiplication modules
Boletim da Sociedade Paranaense de Matemática, 2022 Let $G$ be a group with identity $e$, $R$ be a $G$-graded ring with unity $1$ and $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded quasi multiplication modules, where graded $M$ is said to be graded quasi multiplication if for every graded weakly prime $R$-submodule $N$ of $M$, $N=IM$ for some graded ideal $I$ of $R$.
Rashid Abu-Dawwas +3 more
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Graded semiprime multiplication modules
Boletim da Sociedade Paranaense de Matemática, 2020 Let $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded $R$-module $M$ is said to be graded semiprime multiplication if $M$ has no graded semiprime $R$-submodules or for every graded semiprime $R$-submodule $N$ of $M$, $N=IM$ for some graded ideal $I$ of $R$.
Rashid Abu-Dawwas
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International Journal of Algebra, 2013 Let G be a multiplicative group and R be a G -graded commutative ring and M a G -graded R -module. Various properties of multiplicative ideals in a graded ring are discussed and we extend this to graded modules over graded rings. We have also discussed the set of P -primary ideals and modules of R when P is a graded multiplication prime ideals and ...
A. Khaksari, F. Rasti Jahromi
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Graded multiplication modules and the graded ideal \theta_g (M)
Turkish Journal of Mathematics, 2011 Summary: Let \(G\) be a group and let \(R\) be a \(G\)-graded commutative ring. For a graded \(R\)-module \(M\), the notion of the associated graded ideal \(\theta_g(M)\) of \(R\) is defined. It is proved that the graded ideal \(\theta_g (M)\) is important in the study of graded multiplication modules.
Shahabaddin Ebrahimi Atani +1 more
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