Graded weakly 1-absorbing primary ideals

M Bataineh, R Abu-Dawwas - Demonstratio Mathematica, 2023 - degruyter.com
Let G be a group and R be a G-graded commutative ring with nonzero unity 1. In this article,
we introduce the concept of graded weakly 1-absorbing primary ideals which is a …

On graded 2-prime ideals

M Bataineh, R Abu-Dawwas - Mathematics, 2021 - mdpi.com
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 …

Generalizations of graded S-primary ideals

T Al-Shorman, M Bataineh… - Proyecciones …, 2022 - SciELO Chile
The goal of this article is to present the graded weakly S-primary ideals and graded g-
weakly S-primary ideals which are extensions of graded weakly primary ideals. We state P is …

On graded classical S-primary submodules

T Al-Shorman, M Bataineh - arXiv preprint arXiv:2204.07578, 2022 - arxiv.org
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 classical …

[PDF][PDF] On graded 2-absorbing primal ideals

T Al-shorman, M Bataineh - Proyecciones (Antofagasta, On line), 2024 - researchgate.net
On graded 2-absorbing primal ideals Page 1 On graded 2-absorbing primal ideals Tamem
AL-Shorman King Fahd University of Petroleum and Minerals, Arabia Saudita and Malik …

[PDF][PDF] gr-n-ideals in graded commutative rings

K Al-Zoubi, F Al-Turman, EY Celikel - Acta Universitatis Sapientiae …, 2019 - sciendo.com
gr-n-ideals in graded commutative rings Page 1 Acta Univ. Sapientiae, Mathematica, 11, 1 (2019)
18–28 DOI: 10.2478/ausm-2019-0002 gr-n-ideals in graded commutative rings Khaldoun Al-Zoubi …

Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules

T Al-shorman, M Bataineh, M Bolat… - arXiv preprint arXiv …, 2022 - arxiv.org
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 …

On graded j-ideals over graded rings

T Al-Shorman, M Bataineh, EY Celikel - 2023 - openaccess.hku.edu.tr
. The goal of this article is to present the graded J-ideals of G-graded rings which are
extensions of J-ideals of commutative rings. A graded ideal P of a G-graded ring R is a …

Generalizations Of Graded Prime Ideals Over Graded Near Rings

M Bataineh, T Al-Shorman, E Al-Kilany - arXiv preprint arXiv:2204.10861, 2022 - arxiv.org
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 …

On Generalizations of Graded -ideals

R Abu-Dawwas, M Bataineh, G Al-Qura'an - arXiv preprint arXiv …, 2021 - arxiv.org
In this article, we introduce a generalization of the concept of graded $ r $-ideals in graded
commutative rings with nonzero unity. Let $ G $ be a group, $ R $ be a $ G $-graded …