Hilbert regularity of Stanley-Reisner rings

  title={Hilbert regularity of Stanley-Reisner rings},
  author={Winfried Bruns and Hero Saremi},
  journal={Int. J. Algebra Comput.},
  • W. Bruns, H. Saremi
  • Published 29 January 2016
  • Mathematics, Computer Science
  • Int. J. Algebra Comput.
In this note, we characterize the Hilbert regularity of the Stanley-Reisner ring $K[\bigtriangleup]$ in terms of the $f$-vector and the $h$-vector of a simplicial complex $\bigtriangleup$. We also compute the Hilbert regularity of a Gorenstein algebra. 

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