Stable cohomology over local rings

DOI10.1016/j.aim.2006.11.012zbMath1127.13012arXivmath/0508021OpenAlexW2061130102MaRDI QIDQ2370158

Luchezar L. Avramov, Oana Veliche

Publication date: 22 June 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508021

zbMATH Keywords

local ringTate cohomologystable cohomology

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohomology of groups (20J06) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (21)

A Grothendieck module with applications to Poincaré rationality ⋮ Vanishing of Tate homology -- an application of stable homology for complexes ⋮ Singular equivalences induced by homological epimorphisms ⋮ Finiteness criteria in Gorenstein homological algebra ⋮ Balance in complete cohomology. ⋮ Quasi-injective dimension ⋮ On the finiteness of Ext-indices of ring extensions ⋮ The homotopy Lie algebra of a Tor-independent tensor product ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ A model structure approach to the Tate-Vogel cohomology ⋮ Vanishing of stable homology with respect to a semidualizing module ⋮ Stable homology over associative rings ⋮ Some criteria for detecting large homomorphisms of local rings ⋮ The negative side of cohomology for Calabi-Yau categories ⋮ Complete cohomology and Gorensteinness of schemes ⋮ Relative stable (co)homology ⋮ Cohomology over fiber products of local rings ⋮ Gerstenhaber algebra and Deligne’s conjecture on the Tate–Hochschild cohomology ⋮ A bimodule structure for the bounded cohomology of commutative local rings ⋮ The Nakayama functor and its completion for Gorenstein algebras ⋮ Residues and duality for singularity categories of isolated Gorenstein singularities

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