The weak and strong Lefschetz properties for Artinian \(K\)-algebras

DOI10.1016/S0021-8693(03)00038-3zbMath1018.13001arXivmath/0208201MaRDI QIDQ1810554

Junzo Watanabe, Uwe Nagel, Tadahito Harima, Juan C. Migliore

Publication date: 9 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0208201

zbMATH Keywords

Hilbert functionsgraded Betti numbersweak Lefschetz propertystrong Lefschetz propertygraded Artinian algebraheight-three complete intersection

Mathematics Subject Classification ID

Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

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Uses Software

• Macaulay2

Cites Work

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• Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property
• Upper bounds for the betti numbers of a given hilbert function
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