Suat Kocc

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math.AC2026

On strongly multiplicative sets

Suat KoÃ§

A multiplicative subset $S$ of a ring $R$ is called \textit{strongly multiplicative} if $(⋂_{i \in I^} s_{i} R) \cap S \neq = \emptyset$ for each family $(s_{i})_{i \in I^}$ of elements i…

math.AC2026

On Annihilator Multiplication Modules

Suat KoÃ§

An $A$ -module $E$ is said to be an \textit{annihilator multiplication module} if for each $e \in E$ , there exists a finitely generated ideal $I$ of $A$ such that $ann (e) = ann (I E)$ . T…

math.AC2025

Quasi Divisor Topology of Modules over Domains

Mesut BuÄday, Dilara Erdemir, Ãnsal Tekir +1

Let $E$ be a module over a domain $A$ , and $W (E)^{#} = W (E) - ann (E)$ where $W (E) = {a \in A : a E \neq = E}$ . We define an equivalence relation $\sim$ on $W (E)^{#}$ as follows: $a \sim b$ i…

math.AC2024

On Golomb Topology of Modules over Commutative Rings

UÄur YiÄit, Suat KoÃ§, Ãnsal Tekir

In this paper, we associate a new topology to a nonzero unital module $M$ over a commutative $R$ , which is called Golomb topology of the $R$ -module $M$ . Let $M$ be an\ $R$ -module…