Results 11 to 20 of about 1,454,781 (239)

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 $1\neq0$.
Rashid Abu-Dawwas, Eda Yıldız, Unsal Tekir   +2 more
exaly   +11 more sources

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.
Rashid Abu-Dawwas, Malik Bataineh
exaly   +5 more sources

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 ...
Unsal Tekir
exaly   +6 more sources

Graded 1-Absorbing Prime Ideals Over Non-Commutative Graded Rings

Axioms
In 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 ...
Rashid Abu-Dawwas, Azzh Saad Alshehry
exaly   +6 more sources

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.
Rashid Abu-Dawwas, Malik Bataineh
exaly   +2 more sources

An intersection condition for graded prime ideals [PDF]

Bollettino dell'Unione Matematica Italiana, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Zoubi, Khaldoun, Qarqaz, Feda'a
openaire   +2 more sources

Graded prime ideals over graded Lie algebras

, 2023
In this work, we extend the definition of the graded prime ideals from those in commutative graded rings to the ideals over graded Lie algebras. We prove some facts about graded prime Lie ideals in arbitrary Lie algebras that are similar to those about graded prime ideals over a commutative or non-commutative ring.In addition, the ideas of graded ...
Shihadeh, Abdallah
openaire   +3 more sources

On Graded Weakly S-2-Prime Ideals

International Journal of Analysis and Applications
Let \(G\) be a group with identity \(e\), let \(\mathfrak{T}\) be a commutative \(G\)-graded ring, and let \(S\subseteq h(\mathfrak{T})\) be a multiplicatively closed subset of \(\mathfrak{T}\). In this paper, we introduce and study graded weakly \(S\)-2-prime ideals, which extend the notion of graded weakly \(2\)-prime ideals in graded commutative ...
Reem Abu Zuraiq, Khaldoun Al-Zoubi
openaire   +2 more sources

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, Sh. Othman, A. Jabbar, H. Hussein   +3 more
doaj   +1 more source

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
doaj   +1 more source