Principal Borel ideals and Gotzmann ideals |
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| Authors: | V Bonanzinga |
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| Institution: | (1) Faculty of Engineering, DIMET, University of Reggio Calabria, Via Graziella (Feo di Vito), 89100 Reggio Calabria, Italia |
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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.Received: 10 May 2002 |
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| Keywords: | 13A02 13A15 13C99 |
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