Xiaolei Zhang

collaborators

4 papers

math.AC2025

Some remarks on $u$ - $S$ -Noetherian and $u$ - $S$ -coherent rings

Xiaolei Zhang, Wei Qi

In this paper, we give some new characterizations of $u$ - $S$ -Noetherian rings and $u$ - $S$ -coherent rings in terms of uniform $S$ -version of injective precovers, flat preenvelopes a…

math.RA2024

A note on pure-semisimple rings

Xiaolei Zhang, Wei Qi

In this note, we give several characterizations of left pure-semisimple in terms of the (pre)envelope, (pre)cover, direct limits, direct sums, inverse limits and direct products pr…

math.AC2024

A new version of P-flat modules and its applications

Wei Qi, Xiaolei Zhang

In this paper, we introduce and study the class of $ϕ$ - $w$ -P-flat modules, which can be seen as generalizations of both $ϕ$ -P-flat modules and $w$ -P-flat modules. In particular, we…

math.AC2024

Two remarks on Almost Projective Modules

Xiaolei Zhang, Wei Qi, Dechuan Zhou

For a commutative ring $R$ , an almost projective module is a module whose localization at every maximal ideal is free, with no restriction on rank. We prove that every almost proje…

Some remarks on u-S-Noetherian and u-S-coherent rings

A note on pure-semisimple rings

A new version of P-flat modules and its applications

Two remarks on Almost Projective Modules

Some remarks on $u$ - $S$ -Noetherian and $u$ - $S$ -coherent rings