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Duality for cochain DG algebras

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

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.

Publication metadata

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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