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Lookup NU author(s): Professor Peter Jorgensen
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This paper develops a duality theory for connected cochain DG algebras, with particular emphasis on the non-commutative aspects. One of the main items is a dualizing DG module which induces a duality between the derived categories of DG left-modules and DG right-modules with finitely generated cohomology. As an application, it is proved that if the canonical module k = A/A (a (c) 3/41) has a semi-free resolution where the cohomological degree of the generators is bounded above, then the same is true for each DG module with finitely generated cohomology.
Author(s): Jorgensen P
Publication type: Article
Publication status: Published
Journal: Science China Mathematics
Year: 2013
Volume: 56
Issue: 1
Pages: 79-89
Print publication date: 01/01/2013
ISSN (print): 1674-7283
ISSN (electronic): 1869-1862
Publisher: Science Press
DOI: 10.1007/s11425-012-4470-3
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