%0 Journal Article
%T Duality for cochain DG algebras
%A Peter Jorgensen
%J Mathematics
%D 2010
%I arXiv
%X 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 $A / A^{\geq 1}$ 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.
%U http://arxiv.org/abs/1012.3888v1