id author title date pages extension mime words sentence flesch summary cache txt n296ww74n34 Bernadette M. Boyle On the Unimodality of Pure O-Sequences 2012 .txt text/plain 327 13 56 In particular, for any r > 2, there exists a monomial Artinian level algebra in r variables whose Hilbert function fails unimodality with an arbitrary number of peaks. Finally we will show that for r greater than or equal to 4 and e greater than or equal to 7, there exists a non-unimodal pure O-sequence in r variables with socle degree e. cache/n296ww74n34.txt txt/n296ww74n34.txt