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stableMax -- compute the set of stable primes of a monomial ideal that are maximal with respect to the inclusion.

Synopsis

Description

This method computes $\text{Max}^\infty(I)$, the set of the stable primes of $I$ that are maximal with respect to the inclusion.

i1 : S = QQ[x_1..x_3];
i2 : I = ideal(x_1*x_2,x_1*x_3,x_2*x_3)

o2 = ideal (x x , x x , x x )
             1 2   1 3   2 3

o2 : Ideal of S
i3 : stableMax I

o3 = {ideal (x , x , x )}
              1   2   3

o3 : List
i4 : S = QQ[a..e];
i5 : I = ideal(a*d,a*e,b*d,c*d,c*e);

o5 : Ideal of S
i6 : stableMax I

o6 = {ideal (c, b, a), ideal (d, c, a), ideal (e, d)}

o6 : List

See also

Ways to use stableMax :

For the programmer

The object stableMax is a method function.