Article ID Journal Published Year Pages File Type
4596988 Journal of Pure and Applied Algebra 2012 4 Pages PDF
Abstract

A homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called Gotzmann if the size of this set grows minimally when multiplied with the variables. We note that Gotzmann sets in the quotient 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory