Hwankoo Kim

most citedUniformly

S

-Noetherian rings

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2022

On Cohen's theorem for Artinian modules

Xiaolei Zhang, Hwankoo Kim, Wei Qi

In this paper, we prove that a finitely embedded $R$ -module $M$ is Artinian if and only if for every prime ideal $p$ of $R$ with $(0 :_{R} M) \subseteq p$ , there e…

math.AC2022

On two versions of Cohen's theorem for modules

Xiaolei Zhang, Hwankoo Kim, Wei Qi

Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that a finitely generated $R$ -module $M$ is Noetherian if and only if for every prim…

math.AC2022★ 1 cited

Uniformly $S$ -Noetherian rings

Wei Qi, Hwankoo Kim, Fanggui Wang +2

Let $R$ be a ring and $S$ a multiplicative subset of $R$ . Then $R$ is called a uniformly $S$ -Noetherian ( $u$ - $S$ -Noetherian for abbreviation) ring provided there exists an element…

On Cohen's theorem for Artinian modules

On two versions of Cohen's theorem for modules

Uniformly S-Noetherian rings

Uniformly $S$ -Noetherian rings