The structure of quasi-complete intersection ideals

DOI10.1016/j.jalgebra.2023.05.039arXiv1809.11094OpenAlexW2893206366MaRDI QIDQ6114005

Andrew R. Kustin, Liana M. Şega

Publication date: 11 July 2023

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

Full work available at URL: https://arxiv.org/abs/1809.11094

zbMATH Keywords

Tate homologycomplete intersection dimensionquasi-complete intersectioncomplete resolutionideals with free exterior homologytwo-step Tate complex

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) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (3)

The resolution of \((x^N,y^N,z^N,w^N)\) ⋮ The syzygies of the ideal \((x_1^N, x_2^N, x_3^N, x_4^N)\) in the hypersurface ring defined by \(x_1^n + x_2^n + x_3^n + x_4^n\) ⋮ A self-dual complete resolution

Cites Work

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• Quasi-complete intersection homomorphisms
• Homology of Noetherian rings and local rings
• Minimal quasi-complete intersection ideals
• Complexity and Tor on a complete intersection
• On the acyclicity of the Tate complex
• On complete resolutions
• Complete intersection dimension
• Support varieties and cohomology over complete intersections
• Flat exterior Tor algebras and cotangent complexes
• Projective exterior Koszul homology and decomposition of the Tor functor
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION

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