Tate cohomology with respect to semidualizing modules

Autor:	Sather-Wagstaff, Sean, Sharif, Tirdad, White, Diana
Rok vydání:	2009
Předmět:	Mathematics - Commutative Algebra Mathematics - Category Theory 13D07 (Primary) 18G15 18G25 13D02 (Secondary) 13D05 18G10 18G20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 31 pages, uses xy-pic
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.4969 Zobrazit plný text záznamu View this record from Arxiv