Results 11 to 20 of about 1,390,742 (240)

On graded pseudo 2-prime ideals

Proyecciones (Antofagasta)
In this paper, we study graded pseudo 2-prime ideals of graded commutative rings with nonzero identities. Let G be a commutative additive monoid with an identity element 0, and R=⊕g∈G Rg be a commutative graded ring with a nonzero identity element. A proper graded ideal I of R is said to be a graded pseudo 2-prime ideal if whenever ab ∈ I for some ...
Anass Assarrar, Najib Mahdou, Muroj Al-Shboul, Ünsal Tekïr, Suat Koç   +4 more
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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
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Zariski topology on the spectrum of graded classical prime submodules [PDF]

Applied General Topology, 2013
Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. A proper graded submodule $N$ of $M$ is called graded classical prime if for every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
doaj   +2 more sources

Two notes on homogeneous prime ideals in graded Noetherian rings [PDF]

Journal of Algebra, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratliff, L.J., Rush, David E.
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Properties of ϕ-Primal Graded Ideals [PDF]

Journal of Mathematics, 2017
Let R be a commutative graded ring with unity 1≠0. A proper graded ideal of R is a graded ideal I of R such that I≠R. Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R.
Ameer Jaber
doaj   +2 more sources

Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Mathematics
In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0≠xy∈P, for some homogeneous
Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary   +2 more
doaj   +2 more sources

Homogeneous prime ideals and graded modules fitting into long Bourbaki sequences [PDF]

Journal of Pure and Applied Algebra, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amasaki, Mutsumi
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Graded Prime Ideals Attached to a Group Graded Module

Iranian Journal of Mathematical Sciences and Informatics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ansari, Ajim Uddin, Sharma, B. K., Kumar, Shiv Datt, Behara, Srinivas   +3 more
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Almost Graded Prime Ideals [PDF]

Journal of Mathematics and Statistics, 2008
Problem Statement: Graded commutative ring with unity over an abelian group were introduced by many authors such as T. Y. Lam and C. T. C. Wall, and almost prime ideals over commutative rings with unity were introduced by S.M. Batwadeker and P.K. Sharma, and this forced us to try to extend the theory of almost and n-almost prime ideals to the graded ...
Ameer Jaber, Malik Bataineh, Hani Khashan   +2 more
openaire   +1 more source

On Graded $ϕ$-$1$-absorbing prime ideals

, 2021
Let $G$ be a group, $R$ be a $G$-graded commutative ring with nonzero unity and $GI(R)$ be the set of all graded ideals of $R$. Suppose that $ϕ:GI(R)\rightarrow GI(R)\cup\{\emptyset\}$ is a function. In this article, we introduce and study the concept of graded $ϕ$-$1$-absorbing prime ideals. A proper graded ideal $I$ of $R$ is called a graded $ϕ$% -$1$
Abu-Dawwas, Rasliid, YILDIZ YILMAZ, Eda, Refai, Mashhoor, TEKİR, ÜNSAL, Awawdeh, Roa'a, KOÇ, SUAT   +5 more
openaire   +3 more sources