Dilara Erdemir

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math.AC2026

Generalized divisor topology of commutative rings

Suat Koç, İrem Doğan, Dilara Erdemir +1

Let $R$ be a commutative ring with nonzero identity and let $R^{#}$ denote the set of its nonzero nonunits. We extend the divisor topology $D (R)$ , previously studied for integral do…

math.AC2025

On j-Artinian Modules Over Commutative Rings

Dilara Erdemir, Najib Mahdou, El Houssaine Oubouhou +1

Researchers introduced the notion of j-Artinian rings in [3] and obtained significant results concerning this new class of rings. Motivated by their definition and findings, we ext…

math.AC2025

Quasi Divisor Topology of Modules over Domains

Mesut Buğday, Dilara Erdemir, Ünsal 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…