COHEN-MACAULAY TYPES OF COHEN-MACAULAY COMPLEXES

[摘要] We say that a Cohen-Macaulay poset (partially ordered set) is ''superior'' if every open interxal (x, y) of P^ with mu(p)(x, y) not equal 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. (C) 1994 Academic Press, Inc.

[发布日期] 1994-09-15