Classification of the Tor-algebras of codimension four Gorenstein local rings

DOI10.1007/BF01215134zbMath0565.13004OpenAlexW1965964448MaRDI QIDQ1058556

Andrew R. Kustin, Matthew P. Miller

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173629

zbMATH Keywords

TorGorenstein local ringrationality of the Poincaré seriestight double linkage

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (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 (15)

Linkage theory for algebras with pure resolutions ⋮ Lower Bounds on Betti Numbers ⋮ The Golod property of powers of the maximal ideal of a local ring ⋮ Poincaré series of modules over local rings of small embedding codepth or small linking number ⋮ Tom and Jerry triples with an application to Fano 3-folds ⋮ Resolutions of orthogonal and symplectic analogues of determinantal ideals ⋮ Persistence of homology over commutative Noetherian rings ⋮ Artinian Gorenstein algebras of embedding dimension four and socle degree three ⋮ Gorenstein algebras of codimension four and characteristic two ⋮ Classification of the Tor-Algebras of Codimension Four Almost Complete Intersections ⋮ Betti Numbers for Modules of Finite Length ⋮ A survey on the Koszul homology algebra ⋮ A truncated minimal free resolution of the residue field ⋮ The projective geometry of the Gale transform. ⋮ The Poincaré series of a codimension four Gorenstein ring is rational

Cites Work

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• Constructing big Gorenstein ideals from small ones
• Tight double linkage of Gorenstein algebras
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• The minimal free resolutions of the Huneke-Ulrich deviation two Gorenstein ideals
• A general resolution for grade four Gorenstein ideals
• Liaison des variétés algébriques. I
• Small homomorphisms of local rings
• Almost complete intersections are not Gorenstein rings
• Über homologische Invarianten lokaler Ringe
• Deformation and Linkage of Gorenstein Algebras
• New examples of rigid gorenstein unique factorization domains
• Gorenstein ideals of deviation two
• Structure Theory for a Class of Grade Four Gorenstein Ideals
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3

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