Tate cohomology with respect to semidualizing modules

Details Tate cohomology with respect to semidualizing modules Tate cohomology with respect to semidualizing modules

2009-07-28

arxiv.org/abs/0907.4969v1

Mathematics

Commutative Algebra

31 pages, uses xy-pic

Scientific paper

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.

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