3 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…