Results 71 to 80 of about 120 (101)
ECR 2020 Book of Abstracts : Vienna, Austria. 15 March 2020. [PDF]
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Evolverator: An engineered in cellulo yeast system to drive rapid continuous evolution of proteins
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Graded Prime Submodules over Non-Commutative Rings
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Rashid Abu-Dawwas, Malik Bataineh
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On graded 1-absorbing prime submodules
Journal of Discrete Mathematical Sciences and Cryptography, 2023Let 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 elements x, y of R and ...
Rashid Abu-Dawwas
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SOME PROPERTIES OF GRADED PRIME AND GRADED WEAKLY PRIME SUBMODULES
Khaldoun Al-Zoubi, Boshra Rabab’a
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ON GRADED S-PRIME SUBMODULES OF GRADED MODULES OVER GRADED COMMUTATIVE RINGS
Advances in Mathematics: Scientific Journal, 2021Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded commutative ring with identity, $M$ a graded $R$-module and $S\subseteq h(R)$ a multiplicatively closed subset of $R$. In this paper, we introduce the concept of graded $S$-prime submodules of graded modules over graded commutative rings. We investigate some properties of this class
K. Al-Zoubi, M. Al-Azaizeh
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A generalization of graded prime submodules over non-commutative graded rings
2020Summary: Let \(G\) be a group with identity \(e\). Let \(R\) be an associative \(G\)-graded ring and \(M\) be a \(G\)-graded \(R\)-module. In this article, we intruduce the concept of graded 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.
Ghiasvand, P., Farzalipour, F.
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Some properties of graded 2-prime submodules
Asian-European Journal of Mathematics, 2015Let 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-prime submodule and we give a number of results concerning such modules. Also, we introduce and prove the graded 2-prime avoidance theorem for graded modules.
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