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The paper explores dualizing differential graded (DG) modules over DG algebras. The focus is on DG algebras that are commutative local, and finite. One of the main results established is that, for this class of DG algebras, a finite DG module is dualizing precisely when its Bass number is 1. As a corollary, one obtains that the Avramov–Foxby notion of Gorenstein DG algebras coincides with that due to Frankild and Jørgensen. One other key result is that, under suitable hypotheses, any two dualizing DG modules are quasiisomorphic up to a suspension. In addition, it is established that a number of naturally occurring DG algebras possess dualizing DG modules.
Author(s): Jorgensen P; Frankild A; Iyengar S
Publication type: Article
Publication status: Published
Journal: Journal London Mathematical Society
Year: 2003
Volume: 68
Issue: 2
Pages: 288-306
ISSN (print): 0024-6107
ISSN (electronic): 1469-7750
Publisher: Oxford University Press
URL: http://dx.doi.org/10.1112/S0024610703004496
DOI: 10.1112/S0024610703004496
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