Abstract. In this paper we characterize all principal Borel ideals with Borel <a class="inlineAdmedialink" href="#">generator</a> 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.
Principal Borel ideals and Gotzmann ideals / Bonanzinga, V.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 81:4(2003), pp. 385-396. [10.1007/s00013-003-0830-0]
Principal Borel ideals and Gotzmann ideals
BONANZINGA, Vittoria
2003-01-01
Abstract
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.File in questo prodotto:
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