Geodesic
Recognizing dualizing complexes
Peter Jørgensen1
1 Danish National Library of Science and Medicine Nørre Allé 49 2200 København N, DK-Denmark
Fundamenta Mathematicae, Tome 176 (2003) no. 3, pp. 251-259

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $A$ 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.
DOI : 10.4064/fm176-3-4
Keywords: noetherian local commutative ring suitable complex a modules proved dualizing complex only trivial extension ltimes gorenstein differential graded algebra corollary has dualizing complex only quotient gorenstein local differential graded algebra

Peter Jørgensen 1

1 Danish National Library of Science and Medicine Nørre Allé 49 2200 København N, DK-Denmark 
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Peter Jørgensen. Recognizing dualizing complexes. Fundamenta Mathematicae, Tome 176 (2003) no. 3, pp. 251-259. doi: 10.4064/fm176-3-4

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