Results 211 to 220 of about 1,454,781 (239)

Prime Ideals in Strongly Graded Rings by Polycyclic-by-finite Groups II

Prime Ideals in Strongly Graded Rings by Polycyclic-by-finite Groups II
openaire   +1 more source

On Graded 1-Absorbing Prime Ideals

Sao Paulo Journal of Mathematical Sciences, 2021
Let \(R\) be a commutative ring graded by a group. A graded 1-absorbing prime ideal of \(R\) is defined by the authors as being a proper graded ideal \(P\) such that for any non-invertible homogeneous elements \(x,y,z\in P\), either \(xy\in P\) or \(z\in P\). Several basic results and equivalent characterizations of such ideals are presented.
Rashid Abu-Dawwas, Eda Yıldız, Unsal Tekir   +2 more
exaly   +7 more sources

On Graded Pseudo 2-Prime Ideals

Proyecciones
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 ...
Najib Mahdou, Unsal Tekir, Suat Koc
exaly   +4 more sources

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
exaly   +3 more sources

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 ...
Malik Bataineh, Hani A Khashan
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

On Graded-(m, n)-Prime Ideals of Commutative Graded Rings

Rendiconti Del Circolo Matematico Di Palermo
Let \(G\) be an abelian group written additively, and let \(R\) be a commutative \(G\)-graded ring with identity. Let \(m\) and \(n\) be positive integers. The authors in this paper introduced a new class of ideals, called graded \((m, n)\)-prime ideals, which properly lies between the classes of graded-prime ideals and the graded \((m, n)\)-closed ...
Najib Mahdou, Anass Assarrar
exaly   +3 more sources

The structure of prime homogeneous ideals in graded amalgamated algebra along an ideal

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] and [Formula: see text] be two commutative rings graded by an arbitrary commutative monoid [Formula: see text], [Formula: see text] be a homogeneous ideal of [Formula: see text], and [Formula: see text] be a graded ring homomorphism. The amalgamation of [Formula: see text] with [Formula: see text] along [Formula: see text] with
Fatima-Zahra Guissi, Hwankoo Kim, Najib Mahdou   +2 more
openaire   +2 more sources

Verbally Prime T-Ideals and Graded Division Algebras [PDF]

Advances in Mathematics, 2018
28 ...
Eli Aljadeff, Yaakov Karasik
exaly   +4 more sources

Graded 1-absorbing prime ideals of graded commutative rings

Journal of Algebra and Its Applications, 2021
Let G be a group with identity e and R be G-graded commutative ring with [Formula: see text] In this paper, we introduce and study the graded versions of 1-absorbing prime ideal. We give some properties and characterizations of these ideals in graded ring, and we give a characterization of graded 1-absorbing ideal the idealization [Formula: see text]
openaire   +1 more source