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Posets :: maximalElements

maximalElements -- returns all maximal elements of a poset

Synopsis

Usage:
L = maximalElements (P)
Inputs:
- P, an object of class Poset
Outputs:
- L, a list, of all maximal elements of P

Description

This method returns a list of all maximal elements of P. The results of this method are cached.

i1 : S = QQ[a,b,c];

i2 : P = divisorPoset(a*b^2*c);

i3 : maximalElements P

         2
o3 = {a*b c}

o3 : List

i4 : Q = dropElements(P, maximalElements(P));

i5 : maximalElements Q

       2             2
o5 = {b c, a*b*c, a*b }

o5 : List

Ways to use `maximalElements` :

maximalElements(Poset)