On S-2-Prime Ideals of Commutative Rings

S Yavuz, BA Ersoy, Ü Tekir, E Yetkin Çelikel - Mathematics, 2024 - mdpi.com
Prime ideals and their generalizations are crucial in numerous research areas, particularly
in commutative algebra. The concept of generalization of prime ideals begins with the study …

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 Fuzzy Ideals of Commutative Semirings

EM Özkan, S Onar, A Ozkan, İ Kaplan - Journal of Engineering …, 2023 - dergipark.org.tr
In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to
fuzzy sets, along with an investigation into the relationships and algebraic properties …