A note on Artinian Gorenstein algebras of codimension three

DOI10.1016/S0022-4049(97)00162-XzbMath0931.13014MaRDI QIDQ1295685

Tadahito Harima

Publication date: 23 February 2000

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

zbMATH Keywords

Hilbert functiongraded Betti numbersArtinian Gorenstein algebraslinkageGorenstein ideals

Mathematics Subject Classification ID

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) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Linkage (14M06) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (11)

On Gorenstein sequences of socle degrees 4 and 5 ⋮ Artinian level algebras of socle degree 4 ⋮ On the weak-Lefschetz property for Artinian Gorenstein algebras ⋮ Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property ⋮ Equigenerated Gorenstein ideals of codimension three ⋮ Some special configurations of points in \(\mathbb P^n\) ⋮ Lefschetz properties of some codimension three Artinian Gorenstein algebras ⋮ Linear Syzygies from k-Configurations in ℙⁿ and the Mapping Cone Constructions ⋮ Artinian level algebras of codimension 3 ⋮ Unnamed Item ⋮ Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)

Cites Work

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• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• A note on complete intersections of height three
• Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property

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