Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Orderm

DOI10.1080/00927870802174074zbMath1158.13007arXiv0707.2330OpenAlexW2119853011MaRDI QIDQ5301527

Alexandru Contantinescu

Publication date: 20 January 2009

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

Full work available at URL: https://arxiv.org/abs/0707.2330

zbMATH Keywords

Hilbert functionBetti numbersLefschetz propertydistraction matrix

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (3)

Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\) ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ Generic Initial Ideals, Graded Betti Numbers, andk-Lefschetz Properties

Cites Work

• Unnamed Item
• Hilbert functions of graded algebras
• Ideals with stable Betti numbers
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Ideals of general forms and the ubiquity of the weak Lefschetz property.
• Rigid resolutions and big Betti numbers
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• Reduction numbers and initial ideals
• Koszul homology and extremal properties of Gin and Lex
• Upper bounds for the betti numbers of a given hilbert function
• Generic Initial Ideals and Distractions

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