Extension of almost primary ideals to noncommutative rings and the generalization of nilary ideals

A Abouhalaka, Ş Fındık - Mathematics, 2023 - mdpi.com
In this paper, we introduce the concepts of almost right primary ideals and almost nilary
ideals and study their related results. We compare almost right primary ideals with other …

--Primary Hyperideals in Krasner Hyperrings

E Kaya, M Bolat, S Onar, BA Ersoy, K Hila - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi $-prime,
$\phi $-primary and $\phi $-$\delta $-primary hyperideals are introduced. We intend to …

ϕ‐Prime and ϕ‐Primary Elements in Multiplicative Lattices

CS Manjarekar, AV Bingi - Algebra, 2014 - Wiley Online Library
We investigate ϕ‐prime and ϕ‐primary elements in a compactly generated multiplicative
lattice L. By a counterexample, it is shown that a ϕ‐primary element in L need not be …

ϕδ‐Primary Hyperideals in Krasner Hyperrings

H Guan, E Kaya, M Bolat, S Onar… - Mathematical …, 2022 - Wiley Online Library
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐
primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals …

Generalizations of 2-absorbing and 2-absorbing primary submodules

H Mostafanasab, Ü Tekir, EY Çelikel… - Hacettepe Journal of …, 2019 - dergipark.org.tr
In this study, we introduce ϕ-2-absorbing and ϕ-2-absorbing primary submodules of
modules over commutative rings generalizing the concepts of 2-absorbing and 2-absorbing …

Generalizations of graded S-primary ideals

T Al-Shorman, M Bataineh… - Proyecciones …, 2022 - SciELO Chile
The goal of this article is to present the graded weakly S-primary ideals and graded g-
weakly S-primary ideals which are extensions of graded weakly primary ideals. We state P is …

[PDF][PDF] On φ-2-absorbing elements in multiplicative lattices

EY Çelikel, EA Ugurlu, G Ulucak - Palest. J. Math (PJM), 2016 - researchgate.net
In this paper, we introduce the concept of φ-2-absorbing elements in multiplicative lattices.
Let φ: L→ L∪{∅} be a function. We will say a proper element q of L to be a φ-2-absorbing …

Generalizations of Prime and Primary Ideals in Commutative Semirings.

MK Dubey, P Sarohe - Southeast Asian Bulletin of …, 2017 - search.ebscohost.com
In this paper, we generalize the concepts of prime and primary ideals in terms of ɸ-prime
and ɸ-primary ideals in a commutative semiring S with non-zero identity. We also introduce …

[PDF][PDF] On almost 2-absorbing primary sub-modules

AE Ashour, MM Al-Ashker, OA Naji - IUG J. Nat. Stud, 2017 - researchgate.net
Let R be a commutative ring with identity and M be a unitary R-module, In this paper we
introduce the concept of almost 2-absorbing primary submodules as a new generalization of …

[PDF][PDF] On φ-2-absorbing primary elements in multiplicative lattices

EY Celikel, G Ulucak, EA Ugurlu - Palest. J. Math, 2016 - researchgate.net
In this paper, we introduce the concept of φ-2-absorbing primary elements in multiplicative
lattices as a generalization of φ-2-absorbing elements. Let φ: L→ L∪{∅} be a function. We …