Hilbert Regularity of Stanley-Reisner Rings
  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. 
Winfried Bruns and Hero Saremi
math.AC