Acyclic Complexes and Regular Rings
Abstract
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.
Fields of Study & Subjects
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Mediterranean Journal of Mathematics
- Volume
- 23
- Issue
- 2
- Publication date
- 3 February 2026
- Language
- EN