Hilbert Functions in Monomial Algebras

In this thesis, we study Hilbert functions of monomial ideals in the polynomial ring and the Kruskal-Katona ring. In particular, we classify Gotzmann edge ideals and, more generally, Gotzmann squarefree monomial ideals. In addition, we discuss Betti numbers of Gotzmann ideals and measure how far cer...

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Bibliographic Details
Main Author: Hoefel, Andrew Harald
Language:en
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10222/13998