Hilbert Regularity of Stanley-Reisner Rings
classification
🧮 math.AC
keywords
hilbertregularitybigtriangleupstanley-reisnervectoralgebracharacterizecomplex
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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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