Module-theoretic characterizations of Gorenstein morphisms
DOI:
https://doi.org/10.2140/mscand.2026.132.17Keywords:
Gorenstein dg-algebra, Auslander bound, Gorenstein dimensionAbstract
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.
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