Homologies of cubic Artin-Schelter regular algebras.

DOI10.1016/j.crma.2003.10.009zbMath1056.16008OpenAlexW1552598850MaRDI QIDQ1426561

Nicolas Marconnet

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.009

zbMATH Keywords

de Rham cohomologyHochschild homologydeformationsperiodic cyclic homologycubic Artin-Schelter regular algebras

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) (K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (1)

Koszul and Gorenstein properties for homogeneous algebras.

Cites Work

• Unnamed Item
• Graded algebras of global dimension 3
• A differential complex for Poisson manifolds
• Noncommutative homology of some three-dimensional quantum spaces
• Yang-Mills algebra
• Homogeneous algebras.
• Koszulity for nonquadratic algebras.

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