Suat Koç

activity

20202026

most citedOn Divisor Topology of Commutative Rings

1 citations · 2 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.AC2026

Strongly multiplicative sets, idempotent localizations, and $S$ -prime phenomena

Hwankoo Kim, Suat Koç

A multiplicative set $S$ of a commutative ring $R$ is strongly multiplicative if every family $(s_{i})_{i \in I}$ of elements of $S$ admits a common multiple in $S \cap \bigcap_{i \i…

math.AC2026

Annihilator Multiplication Modules: Ring Characterizations and Constructions

Hwankoo Kim, Suat Koç

An $A$ -module $E$ is annihilator multiplication if the annihilator of each element equals that of $I E$ for a finitely generated ideal $I$ . We characterize rings for which every fai…

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…

Strongly multiplicative sets, idempotent localizations, and S-prime phenomena

Annihilator Multiplication Modules: Ring Characterizations and Constructions

Generalized divisor topology of commutative rings

Strongly multiplicative sets, idempotent localizations, and $S$ -prime phenomena