Acyclic complexes and regular rings
Rings and Algebras
2026-01-27 v2
Abstract
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings.
Keywords
Cite
@article{arxiv.2506.09831,
title = {Acyclic complexes and regular rings},
author = {Lars Winther Christensen and Sergio Estrada and Peder Thompson},
journal= {arXiv preprint arXiv:2506.09831},
year = {2026}
}
Comments
Minor updates. To appear in Mediterr. J. Math.; 11 pp