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.
@article{0907.4969,
author = {Sather-Wagstaff, Sean and Sharif, Tirdad and White, Diana},
title = {Tate cohomology with respect to semidualizing modules},
journal = {arXiv},
volume = {2009},
number = {0},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/0907.4969}
}
Sather-Wagstaff, Sean; Sharif, Tirdad; White, Diana. Tate cohomology with respect to semidualizing modules. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0907.4969/