Recognizing dualizing complexes

• Autorzy: Peter Jørgensen
• Języki publikacji: EN

Abstrakty

EN

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 ⋉ 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.

Kategorie tematyczne

• 16E45: Differential graded algebras and applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 176
• Numer: 3
• Strony: 251-259

Daty

wydano

2003

Twórcy

autor

Peter Jørgensen

• Danish National Library of Science and Medicine, Nørre Allé 49, 2200 København N, DK-Denmark

Identyfikatory

DOI

10.4064/fm176-3-4