Browsing Faculty of Graduate Studies Online Theses by Subject "monomial ideals"

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  • Generalizing Fröberg's Theorem on Ideals with Linear Resolutions 

    Connon, Emma (2013-11-07)
    In 1990, Fröberg presented a combinatorial classification of the quadratic square-free monomial ideals with linear resolutions. He showed that the edge ideal of a graph has a linear resolution if and only if the complement ...

  • Hilbert Functions in Monomial Algebras 

    Hoefel, Andrew Harald (2011-08-12)
    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. ...