English

Characterizing Baer Modules Over $\tau_q$-Semisimple Rings: An Extension of Baer's Problem

Commutative Algebra 2025-09-05 v4

Abstract

In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring RR is τq\tau_q-semisimple, then every Baer RR-module is projective.

Keywords

Cite

@article{arxiv.2307.11367,
  title  = {Characterizing Baer Modules Over $\tau_q$-Semisimple Rings: An Extension of Baer's Problem},
  author = {Xiaolei Zhang and Hwankoo Kim},
  journal= {arXiv preprint arXiv:2307.11367},
  year   = {2025}
}