Gorenstein projective dimension for complexes

Details Gorenstein projective dimension for complexes Gorenstein projective dimension for complexes

2004-06-03

arxiv.org/abs/math/0406057v1

Mathematics

Commutative Algebra

Accepted for publication in Transactions AMS, submitted October 8, 2003

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Gorenstein projective dimension for complexes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gorenstein projective dimension for complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gorenstein projective dimension for complexes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618301