Let R be a commutative ring with 1= 0. In this paper, we introduce the concept of 2-
absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is …

In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing
ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals …

Let R be a commutative ring with 1= 0. In this paper, we introduce the concept of weakly 2-
absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper …

Let R be a commutative ring with 1≠ 0, and let I be a proper ideal of R. Recall that I is an n-
absorbing ideal if whenever x 1⋯ xn+ 1∈ I for x 1,…, xn+ 1∈ R, then there are n of the xi's …

2-Absorbing δ-primary Ideals in Commutative Rings Page 1 KYUNGPOOK Math. J. 57(2017),
193-198 https://doi.org/10.5666/KMJ.2017.57.2.193 pISSN 1225-6951 eISSN 0454-8124 c …

Let R be a commutative ring with unity 1≠ 0 and let δ be an ideal expansion. In the first part
of this paper, we extend the concept of δ-primary ideals to ϕ-δ-primary ideals, where ϕ is an …

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 …

Let R be a commutative ring with 1≠ 0. We recall that a proper ideal I of R is called a weakly
2-absorbing primary ideal of R if whenever a, b, c∈ R and 0≠ a⁢ b⁢ c∈ I, then a⁢ b∈ I or …

Let R be a commutative ring with nonzero identity. In this article, we introduce the notion of 2-
absorbing quasi-primary ideal which is a generalization of quasi-primary ideal. We define a …

Let $ R $ be a commutative ring and $ M $ be an $ R $-module. In this paper, we investigate
some properties of 2-absorbing submodules of $ M $. It is shown that $ N $ is a 2-absorbing …