1 citations · 2 across the 5 of their papers we have counts for
6 papers
On Cohen's theorem for Artinian modules
Xiaolei Zhang, Hwankoo Kim, Wei Qi
In this paper, we prove that a finitely embedded -module is Artinian if and only if for every prime ideal of with , there e…
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 -module is Noetherian if and only if for every prim…
Uniformly -Noetherian rings
Wei Qi, Hwankoo Kim, Fanggui Wang +2
Let be a ring and a multiplicative subset of . Then is called a uniformly -Noetherian (--Noetherian for abbreviation) ring provided there exists an element…
Semi-regular flat modules over strong Prüfer rings
Xiaolei Zhang, Guocheng Dai, Xuelian Xiao +1
We first introduce and study the notion of semi-regular flat modules, and then show that a ring is a strong \Prufer\ ring if and only if every submodule of a semi-regular flat…
The -global dimensions of commutative rings
Xiaolei Zhang, Wei Qi
Let be a commutative ring with identity and a multiplicative subset of . First, we introduce and study the -projective dimensions and -injective dimensions of -…
Some remarks on nonnil-coherent rings and -IF rings
Wei Qi, Xiaolei Zhang
Let be a commutative ring. If the nilpotent radical of is a divided prime ideal, then is called a -ring. In this paper, we first distinguish the classes of…