Generic Initial Ideals, Graded Betti Numbers, andk-Lefschetz Properties

DOI10.1080/00927870802502753zbMath1187.13001arXiv0707.2247OpenAlexW2031558049MaRDI QIDQ3653335

Tadahito Harima, Akihito Wachi

Publication date: 22 December 2009

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

Full work available at URL: https://arxiv.org/abs/0707.2247

zbMATH Keywords

generic initial idealgraded Betti numberLefschetz propertyalmost revlex ideal

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

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Cites Work

• The central simple modules of Artinian Gorenstein algebras
• Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property
• Minimal resolutions of some monomial ideals
• Conditions for generic initial ideals to be almost reverse lexicographic
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Generic initial ideals of Artinian ideals having Lefschetz properties or the strong Stanley property
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• Reduction numbers and initial ideals
• Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Orderm

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