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math.RA2025
Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
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 tha…
math.CT2025
Gorenstein categories relative to G-admissible triples
Sergio Estrada, Octavio Mendoza, Marco A. Pérez
We present the notion of Gorenstein categories relative to G-admissible triples. This is a relativization of the concept of Gorenstein category (an abelian category with enough pro…