On André-Quillen homology and complete intersection ideals

DOI10.1016/J.JALGEBRA.2024.02.040MaRDI QIDQ6495838

Cleto B. Miranda-Neto

Publication date: 2 May 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

complete intersection idealquasi-complete intersection idealAndré-Quillen (co)homologyvanishing of (co)homology

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Quasi-complete intersection homomorphisms
• Minimal quasi-complete intersection ideals
• Complete intersection dimensions and Foxby classes
• Pairs of complete intersections
• On the generalized local cohomology and its duality
• On the free character of the first Koszul homology module
• On the acyclicity of the Tate complex
• Complete intersection dimension
• Duality and vanishing of generalized local cohomology
• Support varieties and cohomology over complete intersections
• Flat exterior Tor algebras and cotangent complexes
• Projective exterior Koszul homology and decomposition of the Tor functor
• Finite complete intersection dimension and vanishing of André-Quillen homology

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