Decomposition of the Hochschild and cyclic homology of commutative differential graded algebras

DOI10.1016/0022-4049(92)90045-HzbMath0771.13006MaRDI QIDQ1208207

Jorge Alberto Guccione, Juan José Guccione, Guillermo Cortiñas

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

differential graded algebrascomplete intersectioncyclic homologyHochschild homology

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Differential algebra (13N99)

Related Items

Hochschild homology of complete intersections and smoothness, On the vanishing of the homology of the exterior powers of the cotangent complex, Dihedral homology of commutative algebras, Analogues of Gersten's conjecture for singular schemes, Cyclic homology of hypersurfaces, Cyclic homology, tight crossed products, and small stabilizations, Bass' \(NK\) groups and \(cdh\)-fibrant Hochschild homology, On the cyclic homology of commutative algebras over arbitrary ground rings

Cites Work

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• Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)
• Cyclic homology and the Lie algebra homology of matrices
• Additive \(K\)-theory and crystalline cohomology
• A Hodge-type decomposition for commutative algebra cohomology
• Generalized Koszul complexes and Hochschild (co-)homology of complete intersections
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• The Hochschild Homology of Complete Intersections