most citedOn Generalizations of Graded -absorbing and Graded -absorbing primary submodules

1 citations · 1 across the 11 of their papers we have counts for

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11 papers

math.GM2022

on graded weakly primal submodules over graded modules

Tamem Al-shorman, Malik Bataineh

Let be G-graded R-module. The idea of a graded weakly primal submodule of , which is a generalization of a graded primal submodule, is introduced and discussed in this paper…

math.GM2022

Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules

Tamem Al-shorman, Malik Bataineh, Melis Bolat +1

In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spe…

math.GM2022

Generalizations Of Graded Prime Ideals Over Graded Near Rings

Malik Bataineh, Tamem Al-shorman, Eman Al-Kilany

This paper considers graded near-rings over a monoid G as a generalizations of the graded rings over groups, introduce certain innovative graded weakly prime ideals and graded almo…

math.GM2022

On Graded Classical S-Primary Submodules

Tamem Al-Shorman, Malik Bataineh

The purpose of this article is to introduce the graded classical S-primary submodules which are extensions of graded classical primary submodules. We state that P is a graded class…

math.GM2022

Graded Prime Ideals Over Graded Near Ring

Malik Bataineh, Tamem Al-Shorman, Eman Al-Kilany

In this paper, we consider graded near-rings over a monoid as a generalizations of graded rings over groups. We introduce certain innovative graded prime ideals and study some…

math.RA2022

Prime Principal Right Ideal Rings

Tamem Al-Shorman, Malik Bataineh

Let R be a commutative ring with unity . In this article, we introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A prime ideal P of R is said to be…

math.GM2022

Generalizations of Graded -Primary Ideals

Tamem Al-Shorman, Malik Bataineh, Rashid Abu-Dawwas

The goal of this article is to present the graded weakly -primary ideals and -weakly -primary ideals which are extensions of graded weakly primary ideals. Let be a com…

math.AC2021

On Generalizations of Graded -ideals

Rashid Abu-Dawwas, Malik Bataineh, Ghida'a Al-Qura'an

In this article, we introduce a generalization of the concept of graded -ideals in graded commutative rings with nonzero unity. Let be a group, be a -graded commutati…

math.RA2021★ 1 cited

On Generalizations of Graded -absorbing and Graded -absorbing primary submodules

Azzh Saad Alshehry, Rashid Abu-Dawwas

Let be a graded commutative ring with non-zero unity and be a graded unitary -module. In this article, we introduce the concepts of graded --absorbing and grad…

math.AC2021

On Graded -Prime Submodules

Azzh Saad Alshehry, Malik Bataineh, Rashid Abu-Dawwas

Let be a graded commutative ring with non-zero unity and be a graded unitary -module. Let be the set of all graded -submodules of and $ϕ: GS(M)\righta…

math.AC2021

On Graded 2-Absorbing Coprimary Submodules

Malik Bataineh, Rashid Abu-Dawwas

The aim of this article is to introduce the concept of graded -absorbing coprimary submodules as a generalization of graded strongly -absorbing second submodules, and explore…