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

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

2007-07-16

arxiv.org/abs/0707.2330v2

Mathematics

Commutative Algebra

19 pages

Scientific paper

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.

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