Now showing items 1-10 of 10

• #### 2-absorbing δ-semiprimary Ideals of Commutative Rings ﻿

(Kyungpook National University, 2021)
Let R be a commutative ring with nonzero identity, I(R) the set of all idealsof R and δ: I(R) → I(R) an expansion of ideals of R. In this paper, we introduce theconcept of 2-absorbing δ-semiprimary ideals in commutative ...
• #### 2-nil ideals of commutative rings ﻿

(Belgian Mathematical Society, 2021)
The concept of 2-nil ideal of a commutative ring R is introduced, as an alternative to the (2, n)-ideals from [6]. We study its relationship with previously introduced classes of ideals, such as 2-absorbing ideals and ...
• #### 2-Nil submodules of modules over commutative rings ﻿

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 Simon Stevin 28(3) (2021).] to 2-nil ...
• #### Generalizations of n-ideals of Commutative Rings ﻿

(Erzincan Binali Yıldırım Üniversitesi, Fen Bilimleri Enstitüsü, 2020)
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• #### Ideal-based quasi zero divisor graph ﻿

(Hacettepe Üniversitesi Fen Fakultesi, 2021)
Let R be a commutative ring with identity and I a proper ideal of R. In this paper we introduce the ideal-based quasi zero divisor graph QGammaI(R) of R with respect to I which is an undirected graph with vertex set ...
• #### On weakly 1 -absorbing primary submodules ﻿

In this paper, we introduce weakly 1-absorbing primary submodules of modules over commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero unital module. A proper submodule N of M is said ...
• #### Quasi J -submodules ﻿

Let R be a commutative ring with identity and M be a unitary R-module. The aim of this paper is to extend the notion of quasi J -ideals of commutative rings to quasi J -submodules of modules. We call a proper submodule N ...
• #### Semi n-ideals of commutative rings ﻿

(Springer Nature, 2022)
Let R be a commutative ring with identity. A proper ideal I is said to be an n-ideal of R if for a, b ∈ R, ab ∈ I and a∉0 imply b ∈ I. We give a new generalization of the concept of n-ideals by defining a proper ideal I ...
• #### The triple zero graph of a commutative ring ﻿

(Ankara Üniv. Fen Fakültesi, 2021)
Let R be a commutative ring with non-zero identity. We define the set of triple zero elements of R by TZ(R)=ainZ(R)ast:\$thereexists\$b,cinRbackslash0\$suchthat\$abc=0\$,\$abneq0\$,\$acneq0\$,\$bcneq0. In this paper, we introduce ...
• #### δ-n-IDEALS OF COMMUTATIVE RINGS ﻿

(University of Guilan, 2022)
Let R be a commutative ring with non-zero identity, and δ: I(R) → I(R) be an ideal expansion where I(R) is the set of all ideals of R. In this paper, we introduce the concept of δ-n-ideals which is an extension of n-ideals ...