Abstract
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.
Citation
Mohsen Asgharzadeh. Kamran Divaani-Aazar. "A unified approach to formal local cohomology and local Tate cohomology." Rocky Mountain J. Math. 44 (2) 349 - 365, 2014. https://doi.org/10.1216/RMJ-2014-44-2-349
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