Tate cohomology with respect to semidualizing modules
Commutative Algebra
2009-07-29 v1 Category Theory
Abstract
We investigate Tate cohomology of modules over a commutative noetherian ring with respect to semidualizing modules. We identify classes of modules admitting Tate resolutions and analyze the interaction between the corresponding relative and Tate cohomology modules. As an application of our approach, we prove a general balance result for Tate cohomology. Our results are based on an analysis of Tate cohomology in abelian categories.
Cite
@article{arxiv.0907.4969,
title = {Tate cohomology with respect to semidualizing modules},
author = {Sean Sather-Wagstaff and Tirdad Sharif and Diana White},
journal= {arXiv preprint arXiv:0907.4969},
year = {2009}
}
Comments
31 pages, uses xy-pic