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 …

This paper aims to introduce 2-absorbing $\phi $-$\delta $-primary ideals over commutative
rings which unify the concepts of all generalizations of 2-absorbing and 2-absorbing primary …

arXiv:2008.00291v1 [math.AC] 1 Aug 2020 Page 1 arXiv:2008.00291v1 [math.AC] 1 Aug 2020
WEAKLY (m, n)-CLOSED IDEALS AND (m, n)-VON NEUMANN REGULAR RINGS DAVID F …

Let R be a commutative ring with 1≠ 0. A proper ideal I of R is a semiprimary ideal of R if
whenever a, b ϵ R and ab ϵ I, we have a∈ I or b∈ I; and I is a weakly semiprimary ideal of …

Let $ R $ be a commutative ring with unity $(1\not= 0) $ and let $\mathfrak {J}(R) $ be the set
of all ideals of $ R $. Let $\phi:\mathfrak {J}(R)\rightarrow\mathfrak {J}(R)\cup\{\emptyset\} …

Let R be a commutative ring with unity (1≠ 0) and let J (R) be the set of all ideals of R. Let Ф:
J (R)→ J (R)∪{∅} be a reduction function of ideals of R and let δ: J (R)→ J (R) be an …

Let R be a commutative ring with nonzero identity, 𝓘 (𝓡) the set of all ideals of R and δ: 𝓘
(𝓡)→ 𝓘 (𝓡) an expansion of ideals of R. In this paper, we introduce the concept of 2 …

Let $ R $ be a commutative ring with nonzero identity and $ n $ be a positive integer. In this
paper, we study the concepts of $ n $-absorbing $\delta $-primary ideals and weakly $ n …

Let G be an abelian group with identity e. Let R be a graded multiplicative hyperring and δ:
Igr (R)→ Igr (R) be an expansion function of Igr (R), where Igr (R) is the set of all graded …

Let R be a commutative ring with nonzero identity. Let I (R) be the set of all ideals of R and
let δ: I (R)−→ I (R) be a function. Then δ is called an expansion function of ideals of R if …