Browsing by Author "Mete, Pinar"

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    Citation - WoS: 24
    Gluing and Hilbert Functions of Monomial Curves
    (Amer Mathematical Soc, 2009) Arslan, Feza; Mete, Pinar; Sahin, Mesut
    In this article, by using the technique of gluing semigroups, we give infinitely many families of 1-dimensional local rings with non-decreasing Hilbert functions. More significantly, these are local rings whose associated graded rings are not necessarily Cohen-Macaulay. In this sense, we give an effective technique for constructing large families of 1-dimensional Gorenstein local rings associated to monomial curves, which support Rossi's conjecture saying that every Gorenstein local ring has a non-decreasing Hilbert function.