English

A note on pure-semisimple rings

Rings and Algebras 2024-12-04 v1

Abstract

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 properties of pure-projective modules or pure-injective modules.

Keywords

Cite

@article{arxiv.2412.02022,
  title  = {A note on pure-semisimple rings},
  author = {Xiaolei Zhang and Wei Qi},
  journal= {arXiv preprint arXiv:2412.02022},
  year   = {2024}
}
R2 v1 2026-06-28T20:20:35.192Z