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

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dc.creatorConstantinescu, Alexandru
dc.date2007-07-16
dc.date2007-07-19
dc.date.accessioned2026-07-07T08:18:55Z
dc.date.available2026-07-07T08:18:55Z
dc.descriptionThe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0707.2330
dc.identifierhttp://arxiv.org/abs/0707.2330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134601
dc.subjectCommutative Algebra
dc.subject13F20 (Primary), 13E10 (Secondary)
dc.titleHilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m
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