A structure theorem for a class of grade three perfect ideals

DOI10.1016/0021-8693(87)90196-7zbMath0624.13010OpenAlexW2074082246MaRDI QIDQ1092123

Anne E. Brown

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90196-7

zbMATH Keywords

minimal free resolutionCM-typeperfect ideals

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (19)

Three Takes on Almost Complete Intersection Ideals of Grade 3 ⋮ Poincaré series of modules over local rings of small embedding codepth or small linking number ⋮ Homogeneous liaison and the sequentially bounded licci property ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ A cohomological study of local rings of embedding codepth 3 ⋮ Artinian Gorenstein algebras of embedding dimension four and socle degree three ⋮ The family of perfect ideals of codimension 3, of type 2 with 5 generators ⋮ Normal Ideals and Expected Reduction Numbers^# ⋮ Local rings of embedding codepth 3. Examples ⋮ The Structure Theorem for Complete Intersections of Grade 4 ⋮ Linkage classes of grade 3 perfect ideals ⋮ A Class of Gorenstein Artin Algebras of Embedding Dimension Four ⋮ The Structure for Some Classes of Grade Three Perfect Ideals ⋮ A survey on the Koszul homology algebra ⋮ Structure Theory for Grade Three Perfect Ideals Associated with Some Matrices ⋮ Structure theory for some classes of grade three perfect ideals ⋮ Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals ⋮ Licci ideals and the non-almost complete intersection locus ⋮ Perfect modules with Betti numbers (2,6,5,1)

Cites Work

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• A general resolution for grade four Gorenstein ideals
• Some structure theorems for finite free resolutions
• Liaison des variétés algébriques. I
• Deformation of schemes defined by vanishing of Pfaffians
• 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
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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