Quasi-Gorenstein morphisms of commutative local dg-algebras
Abstract
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new even for homomorphisms of local rings. In a different direction, we characterize exact sequences in a noetherian local ring, in the sense of Avramov, Henriques, and Sega, in terms of quasi-Gorenstein morphisms involving Koszul complexes.
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