2011/11/29 by Mohsen Asgharzadeh, Asgharzadeh, Mohsen, Kamran Divaani-Aazar +1
Mathematics · #13D02 #13D45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D02 #msc:13D45
paper · pdf · doi:10.48550/arxiv.1111.6786
It will be published in the Rocky Mountain Journal of Mathematics
arxiv created 2011/11/29 · openalex publication_date 2011/11/29 · arxiv updated 2011/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.