On Weakly Prime Submodules
IMA Hadi - Ibn Al-Haitham Journal For Pure and Applied Sciences, 2009 - iasj.net
Let R be a commutative ring with unity and let M be a left R-module. We define a proper
submodule N of M to be a weakly prime if whenever r &# 61646; R, x &# 61646; M, 0 &# …
submodule N of M to be a weakly prime if whenever r &# 61646; R, x &# 61646; M, 0 &# …
2-Nil submodules of modules over commutative rings
N Mahdou, MAS Moutui… - Journal of Algebra and Its …, 2023 - World Scientific
In this paper, we extend the notion of 2-nil ideal introduced by Yetkin Celikel in [E. Yetkin
Celikel, 2-nil ideals of commutative rings, Bulletin of the Belgian Mathematical Society …
Celikel, 2-nil ideals of commutative rings, Bulletin of the Belgian Mathematical Society …
On 1-absorbing prime submodules
EA Ugurlu - arXiv preprint arXiv:2007.01103, 2020 - arxiv.org
In this study, we aim to introduce the concept of a 1-absorbing prime submodule of an unital
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …
On graded weakly 2-absorbing primary submodules
K Al-Zoubi, M Al-Azaizeh - Vietnam Journal of Mathematics, 2019 - Springer
In this paper, we introduce the concept of graded weakly 2-absorbing primary submodules
as a generalization of graded weakly 2-absorbing primary ideals. A number of results …
as a generalization of graded weakly 2-absorbing primary ideals. A number of results …
Absorbing Ideals in Commutative Rings: A Survey
A Badawi - Algebraic, Number Theoretic, and Topological Aspects …, 2023 - Springer
Let R be a commutative ring with 1≠ 0 and I be a proper ideal of R. Then I is called a 2-
absorbing ideal of R if whenever abc∈ I for some a, b, c∈ R, then ab∈ I or bc∈ I or ac∈ I …
absorbing ideal of R if whenever abc∈ I for some a, b, c∈ R, then ab∈ I or bc∈ I or ac∈ I …
Generalizations of 1-absorbing primary ideals of commutative rings
EY Çelikel - 2020 - openaccess.hku.edu.tr
Let R be a commutative ring with identity. In this paper, we extend the concept of 1-
absorbing primary ideals to the concept of ֆ-1-absorbing primary ideals. Let ֆ: S (R)→ S …
absorbing primary ideals to the concept of ֆ-1-absorbing primary ideals. Let ֆ: S (R)→ S …
[PDF][PDF] Some properties of 2-absorbing and weakly 2-absorbing primary ideals
H Mostafanasab, AY Darani - Trans. Algebra and Appl, 2015 - researchgate.net
SOME PROPERTIES OF 2-ABSORBING AND WEAKLY 2-ABSORBING PRIMARY IDEALS 1.
Introduction Throughout this paper all rings are commuta Page 1 Transactions on Algebra and …
Introduction Throughout this paper all rings are commuta Page 1 Transactions on Algebra and …
On weakly classical 1-absorbing prime submodules
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital
module $ M $ over a commutative ring $ R $ having a nonzero identity. A proper submodule …
module $ M $ over a commutative ring $ R $ having a nonzero identity. A proper submodule …
On 1-absorbing primary ideals of commutative rings
A Badawi, EY Celikel - Journal of Algebra and its Applications, 2020 - World Scientific
Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of
1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1 …
1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1 …
[PDF][PDF] A generalization of pure submodules
F Farshadifar - Journal of Algebra and Related Topics, 2020 - jart.guilan.ac.ir
Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. The goal of this work is to introduce the notion of $ S $-pure …
and $ M $ be an $ R $-module. The goal of this work is to introduce the notion of $ S $-pure …