Now showing items 1-7 of 7

• #### 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 . We study its relationship with previously introduced classes of ideals, such as 2-absorbing ideals and ...
• #### 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 S-PRIME SUBMODULES ﻿

(Taehan Suhakhoe, 2022)
Let R be a commutative ring with a non-zero identity, S be a multiplicatively closed subset of R and M be a unital R-module. In this paper, we define a submodule N of M with (N:R M)∩S = ∅ to be weakly S-prime if there ...
• #### 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 ...