scientific article; zbMATH DE number 203005

zbMath0786.13004MaRDI QIDQ4694939

Ragnar-Olaf Buchweitz, Luchezar L. Avramov

Publication date: 16 June 1993

Full work available at URL: http://www.numdam.org/item?id=CM_1993__86_2_147_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

multiplicityHilbert seriesKrull dimensiongraded algebra

Mathematics Subject Classification ID

(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)

Related Items

Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra, Lower Bounds on Betti Numbers, Open problems on syzygies and Hilbert functions, Lower bounds for Betti numbers of monomial ideals, Hochster's theta invariant and the Hodge-Riemann bilinear relations, Lower bounds for Betti numbers over fiber product rings, The vanishing of a higher codimension analogue of Hochster's theta invariant, On invariants of complete intersections, Class rank of differential modules, Self-tests for freeness over commutative Artinian rings., Lefschetz type formulas for dg-categories, Questions about Boij-S\"oderberg theory, Homological algebra modulo a regular sequence with special attention to codimension two, Intersection multiplicity over noncommutative algebras, Divergent series and Serre's intersection formula for graded rings

Cites Work

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• Horrocks' question for monomially graded modules
• Algebraic vector bundles on projective spaces: A problem list
• Betti numbers of multigraded modules
• Modules of finite projective dimension with negative intersection multiplicities
• Binomial behavior of Betti numbers for modules of finite length
• Generic free resolutions and a family of generically perfect ideals
• Dimension and multiplicity for graded algebras
• Ideals defined by matrices and a certain complex associated with them
• Betti Numbers for Modules of Finite Length
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3