most cited--Hyperideals and ---Hyperideals of Commutative Krasner Hyperrings

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2024

Phi Classical 1-Absorbing Prime Submodule

Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2

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 N o…

math.RA2024

On classical 1-absorbing prime submodules

Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2

In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of a nonzero unital module over a commutative ring with unity. A proper submodule $…

math.RA2024

On weakly classical 1-absorbing prime submodules

Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2

In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module over a commutative ring having a nonzero identity. A proper submodule o…

math.GM2021

--Primary Hyperideals in Krasner Hyperrings

Elif Kaya, Melis Bolat, Serkan Onar +2

In this paper, we study commutative Krasner hyperring with nonzero identity. -prime, -primary and --primary hyperideals are introduced. We intend to extend the concept…

math.GM2021★ 1 cited

--Hyperideals and ---Hyperideals of Commutative Krasner Hyperrings

Peng Xu, Melis Bolat, Elif Kaya +3

In this paper, our purpose is to define the expansion of -hyperideals and extend this concept to ---hyperideal. Let be a commutative Krasner hyperring with nonzer…

math.GM2021★ 1 cited

-Hyperideals and Generalizations of -Hyperideals in Krasner Hyperrings

Peng Xu, Melis Bolat, Elif Kaya +3

In this study, we examine some properties of -hyperideals in the commutative Krasner hyperrings. Some properties of -hyperideals are also studied. The relation between prime…