Stable homology over associative rings

DOI10.1090/tran/6897zbMath1397.16007arXiv1409.3605OpenAlexW2308042332MaRDI QIDQ5369021

Greg Piepmeyer, Lars Winther Christensen, Li Liang, Olgur Celikbas

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3605

zbMATH Keywords

Gorenstein ringG-dimensionstable homologyTate homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (8)

Vanishing of Tate homology -- an application of stable homology for complexes ⋮ Complete homology over associative rings ⋮ Vanishing of stable homology with respect to a semidualizing module ⋮ On modules with self Tor vanishing ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ Gorenstein \(FI\)-flat dimension and Tate homology ⋮ Relative stable (co)homology ⋮ Homology theories and Gorenstein dimensions for complexes

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