Generalization of 2-absorbing quasi primary ideals

EA Ugurlu, U Tekir, S Koc - arXiv preprint arXiv:2005.08709, 2020 - arxiv.org
In this article, we introduce and study the concept of $\phi $-2-absorbing quasi primary
ideals in commutative rings. Let $ R $ be a commutative ring with a nonzero identity and $ L …

On Strongly 𝝅-regular Modules

S Koç - Sakarya University Journal of Science, 2020 - dergipark.org.tr
In this article, we introduce the notion of strongly π-regular module which is a generalization
of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠ 0 …

On pseudo 2-prime ideals and almost valuation domains

S Koc - 대한수학회보, 2021 - dbpia.co.kr
In this paper, we introduce the notion of pseudo 2-prime ideals in commutative rings. Let $ R
$ be a commutative ring with a nonzero identity. A proper ideal $ P $ of $ R $ is said to be a …

On phi-1-absorbing prime ideals

E YILDIZ, Ü TEKİR, S KOÇ - BEITRAGE ZUR ALGEBRA UND …, 2021 - avesis.yildiz.edu.tr
In this paper, we introduce phi-1-absorbing prime ideals in commutative rings. Let R be a
commutative ring with a nonzero identity 1 not equal 0 and phi: I (R)-> I (R) boolean OR …

Some new results on regular modules

L Oftadeh, N Amiri - Journal of Mathematical Extension, 2020 - ijmex.com
The aim of this paper is to study unitary regular modules on commutative rings with identity.
Regularity accompanied by cocyclic property results in some prime-related conclusions on …