Recognizing dualizing complexes

2003/03/09 by Peter Jorgensen, Jorgensen, Peter · 1 citation
Mathematics · #13D25 #16E45 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.AC #math.RA #math.RT #msc:13D25 #msc:16E45

paper · pdf · doi:10.48550/arxiv.math/0303105

9 pages. To appear in Fundamenta Mathematicae

arxiv created 2003/03/09 · arxiv updated 2009/11/30

Abstract

Let 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.

Cited by

• Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions

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