Module-theoretic characterizations of Gorenstein morphisms
Abstract
The Gorenstein property in local algebra admits several characterizations via its module category. The goal of this paper is to collect and generalize such characterizations to the relative setting, i.e., to Gorenstein morphisms as defined by Avramov and Foxby (1992). We achieve this by proving these characterizations more generally for graded-commutative Gorenstein dg-algebras.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- MATHEMATICA SCANDINAVICA
- Volume
- 132
- Issue
- 1
- Pages
- 17–31
- Publication date
- 5 July 2026
- Language
- EN