A unified approach to formal local cohomology and local Tate cohomology

Details A unified approach to formal local cohomology and local Tate cohomology A unified approach to formal local cohomology and local Tate cohomology

2011-11-29

arxiv.org/abs/1111.6786v1

Mathematics

Commutative Algebra

It will be published in the Rocky Mountain Journal of Mathematics

Scientific paper

Let R be a commutative Noetherian ring. We introduce a theory of formal local cohomology for complexes of R-modules. As an application, we establish some relations between formal local cohomology, local homology, local cohomology and local Tate cohomology through some natural isomorphisms. We investigate vanishing of formal local cohomology modules. Also, we give a characterization of Cohen-Macaulay complexes.

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