Gorenstein projective dimension for complexes
Abstract
Description
We define and study a notion of Gorenstein projective dimension for complexes of left modules over associative rings. For complexes of finite Gorenstein projective dimension we define and study a Tate cohomology theory. Tate cohomology groups have a natural transformation to classical Ext groups. In the case of module arguments, we show that these maps fit into a long exact sequence, where every third term is a relative cohomology group defined for left modules of finite Gorenstein projective dimension.
Accepted for publication in Transactions AMS, submitted October 8, 2003
Accepted for publication in Transactions AMS, submitted October 8, 2003