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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 --P-flat modules, which can be seen as generalizations of both -P-flat modules and -P-flat modules. In particular, we…
math.AC2024
Two remarks on Almost Projective Modules
Xiaolei Zhang, Wei Qi, Dechuan Zhou
For a commutative ring , 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…