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arXiv · 0707.2330

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

Alexandru Constantinescu
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Abstract

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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BibTeXRIS

Alexandru Constantinescu. 2007-07-19. Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m. https://arxiv.org/abs/0707.2330

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