Betti numbers of compressed level algebras
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Publication:1295679
DOI10.1016/S0022-4049(97)90163-8zbMath0941.13013MaRDI QIDQ1295679
Publication date: 19 July 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Betti numberscompressed algebraslevel algebrasArtin level algebrascompressed level algebrasGorenstein-Artin algebrasmaximum Hilbert function
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
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