2 citations · 3 across the 7 of their papers we have counts for
8 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…
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…
A note on -Prüfer -multiplication rings
Xiaolei Zhang
In this note, we show that a strongly -ring is a -PvMR if and only if any -torsion free -module is --flat, if and only if any divisible module is nonnil-absol…
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 -…
The Telescope Conjecture for von Neumann regular rings
Xiaolei Zhang
In this note, we show that any epimorphism originating at a von Neumann regular ring (not necessary commutative) is a universal localization. As an application, we prove that the T…