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    • Arithmetical rank of binomial ideals 

      Katsabekis, A. (Birkhaeuser Science, 2017)
      In this paper, we investigate the arithmetical rank of a binomial ideal J. We provide lower bounds for the binomial arithmetical rank and the J-complete arithmetical rank of J. Special attention is paid to the case where ...
    • Two remarks on monomial Gotzmann sets 

      Pir, A.F.; Sezer, M. (Elsevier, 2012)
      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 ...