On the weak-Lefschetz property for Artinian Gorenstein algebras

DOI10.1007/s12215-012-0102-6zbMath1281.13010arXiv1112.1498OpenAlexW2067608717MaRDI QIDQ369361

Alfio Ragusa, Giuseppe Zappalá

Publication date: 24 September 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1498

zbMATH Keywords

Hilbert functionsWeak Lefschetz propertycodimension threeGorenstein Artinian algebrasGorenstein Betti sequences

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Linear quotients of Artinian Weak Lefschetz algebras

Cites Work

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• PROPERTIES OF 3-CODIMENSIONAL GORENSTEIN SCHEMES
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• On Complete Intersections and Their Hilbert Functions
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property

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