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Gluing and Hilbert functions of monomial curves
Hilbert function of local ring tangent cone monomial curve numerical semigroup semigroup gluing
2011/8/26
Abstract: 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 a...
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Monomial curves normal ideals Ratliff-Rush closure integral closure monomial ideals
2010/11/30
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the...