Betti numbers of compressed level algebras

DOI10.1016/S0022-4049(97)90163-8zbMath0941.13013MaRDI QIDQ1295679

Mats Boij

Publication date: 19 July 2000

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

zbMATH Keywords

Betti numberscompressed algebraslevel algebrasArtin level algebrascompressed level algebrasGorenstein-Artin algebrasmaximum Hilbert function

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (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) Rings with straightening laws, Hodge algebras (13F50)

Related Items

On the Resolution of Certain Level Algebras ⋮ A Gorenstein simplicial complex for symmetric minors ⋮ Poincaré series of compressed local Artinian rings with odd top socle degree ⋮ Conditions for the Yoneda algebra of a local ring to be generated in low degrees ⋮ Structure theory for a class of grade 3 homogeneous ideals defining type 2 compressed rings ⋮ Generic local rings on a spectrum between Golod and Gorenstein ⋮ Free resolutions of Artinian compressed algebras ⋮ Log-concave Gorenstein sequences ⋮ Quadratically presented grade three Gorenstein ideals ⋮ Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers. ⋮ Ancestor ideals of vector spaces of forms, and level algebras. ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ Artin level modules ⋮ The resolution of \((x^N,y^N,z^N,w^N)\) ⋮ Resolutions of Some Gorenstein Algebras with Nonunimodal Hilbert Functions ⋮ Minimal resolution of relatively compressed level algebras ⋮ Hilbert functions and level algebras ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ Exact pairs of homogeneous zero divisors ⋮ Analytic isomorphisms of compressed local algebras ⋮ On the minimal free resolution of $n+1$ general forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• The Cohen-Macaulay type of points in generic position
• Syzygies of canonical curves and special linear series
• Minimally generating ideals defining certain tangent cones
• The minimal resolution conjecture
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• On the resolution of points in generic position
• THE LINEAR SYZYGIES OF GENERIC FORMS
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Associated graded algebra of a Gorenstein Artin algebra
• Nonunimodality of Graded Gorenstein Artin Algebras
• On the Resolution of Certain Graded Algebras