Results 1 to 10 of about 28,733,593 (154)
Graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
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ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALS
Journal of the Korean Mathematical Society, 2017 Summary: Let \(G\) be a group with identity \(e\) and let \(R\) be a \(G\)-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals.
Al-Zoubi, Khaldoun, Sharafat, Nisreen
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On graded WAG2-absorbing submodule
Математичні Студії, 2022 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 $WAG2$-absorbing submodule. A number of results concerning of these classes of graded submodules
K. Al-Zoubi, Mariam Al-Azaizeh
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Some notes on graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Rashid Abu-Dawwas, Azzh Alshehry
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Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings
Symmetry, 2022 Let G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a graded ring which is not commutative, and demonstrates that the symmetry ...
Rashid Abu-Dawwas, Azzh Alshehry
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Graded ϕ-2-Absorbing and Graded ϕ-2-Absorbing Primary Submodules
Mathematics, 2021 The main goal of this article is to explore the concepts of graded ϕ-2-absorbing and graded ϕ-2-absorbing primary submodules as a new generalization of the concepts of graded 2-absorbing and graded 2-absorbing primary submodules. Let ϕ:GS(M)→GS(M)⋃{∅} be
Rashid Abu-Dawwas +2 more
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On weakly 1-absorbing prime ideals
Ricerche Di Matematica, 2021 This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity 1 not equal 0. A proper ideal P of A is said to be a weakly 1-absorbing prime ideal if for every nonunits x, y, z.
Eda Yıldız, Unsal Tekir, Suat Koc
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Some of the next articles are maybe not open access.
On graded 1-absorbing prime ideals
Sao Paulo Journal of Mathematical Sciences, 2021Rashid Abu-Dawwas +2 more
exaly
1-absorbing prime ideals and weakly 1-absorbing prime ideals in noncommutative rings
Sao Paulo Journal of Mathematical Sciences, 2022exaly
On graded 1-absorbing prime submodules
Journal of Discrete Mathematical Sciences and Cryptography, 2023Rashid Abu-Dawwas
exaly