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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Language: | en |
Published: |
2011
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Online Access: | http://hdl.handle.net/10222/13998 |