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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.GN2025
On \tilde{Spec}(M) Topology of Module M over Commutative Rings
Dilara Erdemir, Suat Koç, Ünsal Tekir +1
Let R be a commutative ring with unity and M be an R-module. In this study, we construct the \tilde{Spec}(M) topology using the prime spectrum of module M and multiplicatively clos…
math.AC2025
Quasi Divisor Topology of Modules over Domains
Mesut Buğday, Dilara Erdemir, Ünsal Tekir +1
Let be a module over a domain , and where . We define an equivalence relation on as follows: i…