Recognizing dualizing complexes

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dc.creatorJorgensen, Peter
dc.date2003-03-09
dc.date.accessioned2026-07-07T04:55:53Z
dc.date.available2026-07-07T04:55:53Z
dc.descriptionLet A be a noetherian local commutative ring and let M be a suitable complex of A-modules. This paper proves 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 follows that A has a dualizing complex if and only if it is a quotient of a Gorenstein local Differential Graded Algebra.
dc.description9 pages. To appear in Fundamenta Mathematicae
dc.identifierhttps://arxiv.org/abs/math/0303105
dc.identifierhttp://arxiv.org/abs/math/0303105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66736
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject13D25; 16E45
dc.titleRecognizing dualizing complexes
dc.typetext

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