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Principal Borel ideals and Gotzmann ideals
Authors:V. Bonanzinga
Affiliation:(1) Faculty of Engineering, DIMET, University of Reggio Calabria, Via Graziella (Feo di Vito), 89100 Reggio Calabria, Italia
Abstract:In this paper we characterize all principal Borel ideals with Borel generatorup to degree 4 which are Gotzmann. We also classify principal Borel ideals with a Borel generator of degree d which are lexsegmentand we describe the shadows of principal Borel ideals. Finally, wediscuss the corresponding results for squarefree monomial ideals.Received: 10 May 2002
Keywords:13A02  13A15  13C99
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