Acyclic Complexes and Regular Rings
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.
Authors
- Lars Winther Christensen (ORCID: https://orcid.org/0000-0002-9360-123X)
- Peder Thompson
- Sergio Estrada
Institutions
- Texas Tech University (US)
- Mälardalen University (SE)
- Universidad de Murcia (ES)
Publication Details
- Journal
- Mediterranean Journal of Mathematics
- Published
- 2026-02-03
- DOI
- https://doi.org/10.1007/s00009-026-03055-w
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Mälardalens högskola
- Agencia Estatal de Investigación