Boolean prime ideals

*To*: mathgroup at smc.vnet.net*Subject*: [mg44447] Boolean prime ideals*From*: "mail" <mail00 at tiscali.it>*Date*: Mon, 10 Nov 2003 04:52:18 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Using the package "DiscreteMath`Combinatorica`" we can easily obtain a representation of a finite boolean algebra of order n by typing ShowGraph[BooleanAlgebra[n]]. Is there something (very simple) I can do to obtain only the points of the prime ideals of the boolean algebras ? Thank you. (Def: if B is a boolean algebra, a prime ideal is an ideal I of B such that if a,b in B and a/\b in I, then a in I or b in I.)