Browsing by Subject "Gotzmann ideals"
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Item Open Access Lexsegment and Gotzmann ideals associated with the diagonal action of Z/p(Springer Wien, 2011) Sezer, M.We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We give a description of the actions for which the corresponding Hilbert ideal is Gotzmann when n = 2. Nevertheless, we show that there is a separating set of invariant monomials that generates a proper lexsegment ideal in the polynomial ring for all n. As well, we provide an algorithm to compute this set. © 2009 Springer-Verlag.