Gorenstein projective dimension for complexes
Commutative Algebra
2007-05-23 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0406057,
title = {Gorenstein projective dimension for complexes},
author = {Oana Veliche},
journal= {arXiv preprint arXiv:math/0406057},
year = {2007}
}
Comments
Accepted for publication in Transactions AMS, submitted October 8, 2003