5 papers
On Divisor Topology of Modules over Domains
Ünsal Tekir, Uğur Yiğit, Mesut Buğday +1
Let be a module over a domain and be the set of all nonzero nongenerators of Consider following equivalence relation on $M^…
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 $…
On Regular Fusible Modules
Osama A. Naji, Mehmet Özen, Ünsal Tekir +1
In this article, we introduce the notion of regular fusible modules. Let be a ring with an identity and an -module. An element is said to be regular fusib…
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…
On Weakly 1-Absorbing Prime Ideals
Suat Koç, Ünsal Tekir, Eda Yıldız
This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let be a commutative ring with a nonzero identity . A proper ideal of is s…