Recognizing dualizing complexes
Volume 176 / 2003
Fundamenta Mathematicae 176 (2003), 251-259
MSC: 13D25, 16E45.
DOI: 10.4064/fm176-3-4
Abstract
Let be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A \ltimes M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.
