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Principal Borel ideals and Gotzmann ideals

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Abstract.

In this paper we characterize all principal Borel ideals with Borel generator up to degree 4 which are Gotzmann. We also classify principal Borel ideals with a Borel generator of degree d which are lexsegment and we describe the shadows of principal Borel ideals. Finally, we discuss the corresponding results for squarefree monomial ideals.

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Authors and Affiliations

  1. Faculty of Engineering, DIMET, University of Reggio Calabria, Via Graziella (Feo di Vito), 89100, Reggio Calabria, Italia

    V. Bonanzinga

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  1. V. Bonanzinga
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Correspondence to V. Bonanzinga.

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Received: 10 May 2002

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Bonanzinga, V. Principal Borel ideals and Gotzmann ideals. Arch. Math. 81, 385–396 (2003). https://doi.org/10.1007/s00013-003-0830-0

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  • DOI: https://doi.org/10.1007/s00013-003-0830-0

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