Two remarks on monomial Gotzmann sets
Journal of Pure and Applied Algebra
833 - 836
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A homogeneous set of monomials in a quotient of the polynomial ring S:=F[x 1,..,x n] is called Gotzmann if the size of this set grows minimally when multiplied with the variables. We note that Gotzmann sets in the quotient R:=F[x1,...,xn]/(x1a) arise from certain Gotzmann sets in S. Secondly, we prove a combinatorial result about the deletion of a variable in a Gotzmann set in S. © 2011 Elsevier B.V.