Tate cohomology with respect to semidualizing modules
Sather-Wagstaff, Sean ; Sharif, Tirdad ; White, Diana
arXiv, 0907.4969 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2009-07-28
Classification:  Mathematics - Commutative Algebra,  Mathematics - Category Theory,  13D07 (Primary), 18G15, 18G25,  13D02 (Secondary), 13D05, 18G10, 18G20 
@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/