Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m

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Constantinescu, Alexandru
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The authors T.Harima, J.C.Migliore, U.Nagel and J.Watanabe characterized the Hilbert function of algbebras with the Lefschetz property. We extend this characterization to algebras with the Lefschetz property m times. We also give upper bounds for the Betti numbers of Artinian algebras with a given Hilbert function and with the Lefschetz property m times and describe the cases in which these bounds are reached.
Comment: 19 pages
Keywords
Mathematics - Commutative Algebra, 13F20 (Primary), 13E10 (Secondary)
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