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      Two remarks on monomial Gotzmann sets

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      Author
      Pir, A.F.
      Sezer, M.
      Date
      2012
      Source Title
      Journal of Pure and Applied Algebra
      Print ISSN
      0022-4049
      Electronic ISSN
      1873-1376
      Publisher
      Elsevier
      Volume
      216
      Issue
      4
      Pages
      833 - 836
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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.
      Keywords
      13F20
      13D40
      Permalink
      http://hdl.handle.net/11693/21528
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.jpaa.2011.10.007
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