Work

Acyclic Complexes and Regular Rings

Year: 2026

Type: article

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.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-026-03055-w

Authors: Lars Winther Christensen, Sergio Estrada, Peder Thompson

Institutions: Texas Tech University, Universidad de Murcia, Mälardalen University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190