Results 1 to 10 of about 1,390,742 (240)
On Graded 2-Prime Ideals [PDF]
Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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On the union of graded prime ideals
Open Physics, 2016 In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family ...
Uregen Rabia Nagehan +2 more
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Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings
AxiomsIn this article, we define and study graded 1-absorbing prime ideals and graded weakly 1-absorbing prime ideals in non-commutative graded rings as a new class of graded ideals that lies between graded prime ideals (graded weakly prime ideals) and graded ...
Azzh Saad Alshehry +2 more
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Graded weakly 1-absorbing prime ideals [PDF]
Cubo, 2022 In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir +3 more
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Graded weakly prime ideals of non-commutative rings [PDF]
Communications in Algebra, 2021 In this article, we consider the structure of graded rings, not necessarily commutative nor with unity, and study the graded weakly prime ideals. We investigate the graded rings in which all graded ideals are graded weakly prime. Several properties are given, and several examples to support given propositions are constructed.
Rashid Abu-Dawwas, Azzh Saad Alshehry
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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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Verbally prime T-ideals and graded division algebras [PDF]
Advances in Mathematics, 2018 28 ...
Eli Aljadeff
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PRIME IDEALS OF RINGS GRADED BY A COMMUTATIVE SEMIGROUP WHICH IS A NILPOTENT EXTENSION OF A GROUP
Honam Mathematical Journal, 2007 We study the prime ideal structure of the direct sum of directed system of rings indexed by a commutative semigroup which is nilpotent extension of a group.
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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 the rank of the holomorphic solutions of PDE associated to directed graphs [PDF]
AUT Journal of Mathematics and Computing, 2021 Let $G$ be a directed graph with $m$ vertices and $n$ edges, $I(\textbf{B})$ the binomial ideal associated to the incidence matrix $\textbf{B}$ of the graph $G$, and $I_L$ the lattice ideal associated to the columns of the matrix $\textbf{B}$. Also let $\
Hamid Damadi, Farhad Rahmati
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