Pir, A.F.Sezer, M.2016-02-082016-02-0820120022-4049http://hdl.handle.net/11693/21528A 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.English13F2013D40Article10.1016/j.jpaa.2011.10.0071873-1376