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math.AC2016
One-dimensional Gorenstein local rings with decreasing Hilbert function
Anna Oneto, Francesco Strazzanti, Grazia Tamone
In this paper we solve a problem posed by M.E. Rossi: {\it Is the Hilbert function of a Gorenstein local ring of dimension one not decreasing? } More precisely, for any integer $h>…
math.AC2016
On semigroup rings with decreasing Hilbert function
Anna Oneto, Grazia Tamone
In this paper we study the Hilbert function HR of one-dimensional semigroup rings R = k[[S]]. For some classes of semigroups, by means of the notion of support of the elements in S…