English

Flat epimorphisms and silting epimorphisms coincide for commutative rings

Rings and Algebras 2025-10-07 v1 Representation Theory

Abstract

We investigate the relation between partial silting modules, Gabriel topologies, and ring epimorphisms, with a particular emphasis on commutative rings. We show that a ring epimorphism of commutative rings is flat if and only if it is a silting ring epimorphism.

Keywords

Cite

@article{arxiv.2510.03440,
  title  = {Flat epimorphisms and silting epimorphisms coincide for commutative rings},
  author = {Jan Šťovíček},
  journal= {arXiv preprint arXiv:2510.03440},
  year   = {2025}
}

Comments

23 pages

R2 v1 2026-07-01T06:16:10.572Z