Projective exterior Koszul homology and decomposition of the Tor functor

DOI10.1007/BF01232370zbMath0856.13009OpenAlexW2024457572MaRDI QIDQ1911544

Amalia Blanco, Antonio G. Rodicio, José J. M. Soto

Publication date: 18 June 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144339

zbMATH Keywords

Koszul homologyTate resolutionsimplicial resolutionsHochschild homology of complete intersections

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (5)

The structure of quasi-complete intersection ideals ⋮ Sur l'annulation de la cohomologie de hochschild des anneaux de gorenstein ⋮ On the conductor formula of Bloch ⋮ Free koszul homology and regular ideals in non-noetherian rings ⋮ On the acyclicity of the Tate complex

Cites Work

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• Homology of Noetherian rings and local rings
• Produit tensoriel et complexe cotangent. (Tensor product and cotangent complex)
• Hochschild homology of complete intersections
• Generalized Koszul complexes and Hochschild (co-)homology of complete intersections
• Minimal models and derived functors
• On the rigidity of the generalized Koszul complexes with applications to Hochschild homology
• Hochschild homology of complete intersections and smoothness
• Commutative augmented algebras with two vanishing homology modules
• Flat exterior Tor algebras and cotangent complexes
• Homotopical algebra
• A Sequence of Complexes Associated with a Matrix

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