Results 191 to 200 of about 28,583,868 (207)

ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS

Journal of the Korean Mathematical Society, 2015
Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal.
Unsal Tekir, Ayman Badawi
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ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

Bulletin of the Korean Mathematical Society, 2014
Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal.
Unsal Tekir, Ayman Badawi
exaly   +2 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 Alshehry
exaly   +2 more sources

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On Graded 2-Absorbing Quasi Primary Ideals

2022
In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a
openaire   +1 more source

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 ...
Rashid Abu-Dawwas, Azzh Alshehry
exaly   +2 more sources

ON GRADED STRONGLY 1-ABSORBING PRIMARY IDEALS AND GRADED 2-ABSORBING I-PRIMARY IDEALS

Given a group G with identity element e and a G-graded commutative ring R with unity 1. This paper introduces a new concept, namely, graded strongly 1-absorbing primary ideals, which is a subclass of the graded 1-absorbing primary ideals. A proper graded ideal I of R is said to be a graded strongly 1-absorbing primary ideal of R if whenever non-unit ...
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On graded 1-absorbing prime submodules

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Rashid Abu-Dawwas
exaly  

Characterizations of Graded Rings over Which Every Graded semi-primary Ideal is Graded 1-Absorbing Primary

WSEAS Transactions on Mathematics, 2021
Rashid Abu-Dawwas, Malik Bataineh
exaly  

ON GRADED 2-ABSORBING COPRIMARY SUBMODULES

Missouri Journal of Mathematical Sciences, 2022
Rashid Abu-Dawwas, Malik Bataineh
exaly  

Some properties of graded generalized 2-absorbing submodules

Demonstratio Mathematica, 2022
Khaldoun Al-Zoubi, Shatha Alghueiri
exaly