On classical 1-absorbing prime submodules

ZY Uçar, BA Ersoy, Ü Tekir, S Koç, S Onar - arXiv preprint arXiv …, 2024 - arxiv.org
In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of
a nonzero unital module $ M $ over a commutative ring $ A $ with unity. A proper submodule …

On weakly classical 1-absorbing prime submodules

ZY Uçar, BA Ersoy, Ü Tekir, S Koç, S Onar - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital
module $ M $ over a commutative ring $ R $ having a nonzero identity. A proper submodule …

On 1-absorbing prime submodules

EA Ugurlu - arXiv preprint arXiv:2007.01103, 2020 - arxiv.org
In this study, we aim to introduce the concept of a 1-absorbing prime submodule of an unital
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …

[PDF][PDF] Classical 1-Absorbing Primary Submodules

ZY Uçar, BA Ersoy, Ü Tekir, EY Çelikel, S Onar - Mathematics, 2024 - avesis.yildiz.edu.tr
Over the years, prime submodules and their generalizations have played a pivotal role in
commutative algebra, garnering considerable attention from numerous researchers and …

[HTML][HTML] Classical 1-Absorbing Primary Submodules

Z Yılmaz Uçar, BA Ersoy, Ü Tekir, E Yetkin Çelikel… - Mathematics, 2024 - mdpi.com
Over the years, prime submodules and their generalizations have played a pivotal role in
commutative algebra, garnering considerable attention from numerous researchers and …

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 …

2-absorbing and strongly 2-absorbing secondary submodules of modules

H Ansari-Toroghy, F Farshadifar - arXiv preprint arXiv:1610.00565, 2016 - arxiv.org
arXiv:1610.00565v1 [math.AC] 3 Oct 2016 Page 1 arXiv:1610.00565v1 [math.AC] 3 Oct 2016 1
2-ABSORBING AND STRONGLY 2-ABSORBING SECONDARY SUBMODULES OF MODULES …

On 2-absorbing submodules over commutative rings

MK Dubey, P Aggarwal - Lobachevskii Journal of Mathematics, 2015 - Springer
On 2-Absorbing Submodules over Commutative Rings Page 1 ISSN 1995-0802,
Lobachevskii Journal of Mathematics, 2015, Vol. 36, No. 1, pp. 58–64. c © Pleiades …

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 …

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 …