Abstract :
We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal (x, y) of P with μP(x, y) ≠ 0 is doubly Cohen-Macaulay. For example, if L = P is a modular lattice, then the Cohen-Macaulay poset P is superior. We present a formula for the computation of the Cohen-Macaulay type of the Stanley-Reisner ring of the order complex of a Cohen-Macaulay poset which is superior.
