Let f(d) = (fs, fi, . . . . fd,) be the f-vector of a Cohen-Macaulay complex A. Bjijrner proved that (*) fief++, for any O<ii[d/2] and (**) f0 Q fi < < fr+ i rP1. Recently, Stanley generalized Bjorner’s inequalities (*) and (**) for pure simplicial complexes. In this paper we consider O-sequence analogue of the inequalities (*) and (**). Let (ha, h,, . . . . h,), h,#O, is a pure O-sequence. We ...
