2 papers
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
Some remarks on almost projective envelopes
Xiaolei Zhang, Wei Qi, Dechuan Zhou
Let be a commutative ring. An -module is said to be almost projective if for any -module and any maximal ideal $\mathfrak…