[PDF][PDF] On ϕ-1-absorbing primary submodules

Ü Tekir, E Yıldız, S Koç, EY Çelikel - ced.fst-usmba.ac.ma
In this article, we introduce ϕ-1-absorbing primary submodules of modules over
commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero …

On ϕ-2-Absorbing Primary Submodules

R Moradi, M Ebrahimpour - Acta Mathematica Vietnamica, 2017 - Springer
Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪∅ ϕ:S(M)→S(M)∪{∅\} be a function, where S (M) is the set of submodules of M. We …

On weakly -absorbing primary submodules

EY Çelikel, S Koç, Ü Tekir, E Yıldız - Journal of Algebra and Its …, 2024 - World Scientific
In this paper, we introduce weakly 1-absorbing primary submodules of modules over
commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero …

On 2-absorbing quasi primary submodules

S Koc, RN Uregen, U Tekir - Filomat, 2017 - JSTOR
Let R be a commutative ring with nonzero identity, and let M be a nonzero unital R-module.
In this article, we introduce the concept of 2-absorbing quasi primary submodules which is a …

[PDF][PDF] 2-absorbing and weakly 2-absorbing submodules

AY Darani, F Soheilnia - Thai J. Math, 2011 - thaijmath2.in.cmu.ac.th
Let R be a commutative ring with a nonzero identity and let M be a unitary R-module. We
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …

On φ-β-Absorbing Submodules

T Khumprapussorn - European Journal of Pure and Applied …, 2022 - ejpam.com
In this paper, we extend the concept of β-absorbing submodules to φ-β-
absorbingsubmodules over a commutative ring with nonzero identity which is a …

[HTML][HTML] On classical n-absorbing submodules

OA Naji - Arabian Journal of Mathematics, 2020 - Springer
Let R a commutative ring with identity and M be a unitary R-module. In this paper, we
investigate some properties of n-absorbing submodules of M as a generalization of 2 …

Phi Classical 1-Absorbing Prime Submodule

ZY Uçar, BA Ersoy, Ü Tekir, EY Çelikel… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We
introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule …

Classical 2-absorbing submodules of modules over commutative rings

H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06564, 2015 - arxiv.org
In this article, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …

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 …