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arXiv · 2502.16004

Module-Theoretic Characterizations of Gorenstein Morphisms

Andrew Soto Levins·Prashanth Sridhar
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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 [AF92]. We achieve this by proving these characterizations more generally for graded-commutative Gorenstein dg-algebras.

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Andrew Soto Levins, Prashanth Sridhar. 2025-02-21. Module-Theoretic Characterizations of Gorenstein Morphisms. https://doi.org/10.2140/mscand.2026.132.17

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