[PDF][PDF] On graded 2-absorbing quasi primary ideals

RN Uregen, U Tekir, KP Shum… - Southeast Asian Bulletin of …, 2019 - researchgate.net
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 …

n-Absorbing Ideals of Commutative Rings and Recent Progress on Three Conjectures: A Survey

A Badawi - Rings, Polynomials, and Modules, 2017 - Springer
Let R be a commutative ring with 1≠ 0. Recall that a proper ideal I of R is called a 2-
absorbing ideal of R if a, b, c∈ R and abc∈ I, then ab∈ I or ac∈ I or bc∈ I. A more general …

Graded amalgamated algebras along an ideal

FZ Guissi, H Kim, N Mahdou - Journal of Algebra and its …, 2024 - World Scientific
Let A=⊕ α∈ Γ A α and B=⊕ α∈ Γ B α be two commutative rings graded by an arbitrary
commutative monoid Γ, let J be a homogeneous ideal of B and f: A→ B a graded ring …

On -absorbing ideals and -closed ideals in trivial ring extensions of commutative rings

A Badawi, M Issoual, N Mahdou - Journal of Algebra and Its …, 2019 - World Scientific
Let R be a commutative ring with 1≠ 0. Recall that a proper ideal I of R is called a 2-
absorbing ideal of R if a, b, c∈ R and abc∈ I, then ab∈ I or ac∈ I or bc∈ I. A more general …

[PDF][PDF] Some properties of graded 2-absorbing and graded weakly 2-absorbing submodules

K Al-Zoubi, M Al-Azaizeh - J. Nonlinear Sci. Appl, 2019 - researchgate.net
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. In this paper we will obtain some results concerning the graded 2-absorbing and …

On -absorbing and strongly -absorbing ideals of amalgamation

M Issoual, N Mahdou, MAS Moutui - Journal of Algebra and Its …, 2020 - World Scientific
Let R be a commutative ring with 1≠ 0. Let n≥ 1 be a positive integer. A proper ideal I of R
is called an n-absorbing ideal (respectively, a strongly n-absorbing ideal) of R as in [DF …

[PDF][PDF] On (m, n)− closed δ− primary ideals of commutative rings

M Hamoda - Palestine Journal of Mathematics, 2023 - pjm.ppu.edu
ON (m, n)−CLOSED δ−PRIMARY IDEALS OF COMMUTATIVE RINGS Page 1 Palestine Journal
of Mathematics Vol. 12(2)(2023) , 280–290 © Palestine Polytechnic University-PPU 2023 ON (m …

[PDF][PDF] On graded classical 2-absorbing submodules of graded modules over graded commutative rings

K Al-Zoubi, M Al-Azaizeh - Rend. Istit. Mat. Univ. Trieste, 2018 - openstarts.units.it
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. In this paper, we will introduce the concept of graded classical 2-absorbing …

On weakly (m, n)− closed δ− primary ideals of commutative rings

M Hamoda, M Issoual - Proyecciones (Antofagasta), 2023 - SciELO Chile
Let R be a commutative ring with 1≠ 0. In this article, we introduce the concept of weakly (m,
n)− closed δ− primary ideals of R and explore its basic properties. We show that a proper …

[PDF][PDF] On Graded 2-absorbing second submodules of graded modules over graded commutative rings

K Al-Zoubi, M Al-Azaizeh - Kragujevac Journal of Mathematics, 2024 - researchgate.net
ON GRADED 2-ABSORBING SECOND SUBMODULES OF GRADED MODULES OVER
GRADED COMMUTATIVE RINGS 1. Introduction and Preliminaries Throug Page 1 Kragujevac …