binomialMinimalPrimes -- minimal primes of a binomial Ideal

• Usage:

  binomialMinimalPrimes I

• Inputs:
  • I, a binomial ideal
• Optional inputs:
  • Verbose => ..., default value false, generate informative output
• Outputs:
  • the list of minimal primes of I

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : I = ideal(y^3,y^2*z^2-x^3,x*y^2*z,x^3*z-x*y)

             3   2 2    3     2    3
o2 = ideal (y , y z  - x , x*y z, x z - x*y)

o2 : Ideal of R

i3 : binomialMinimalPrimes I

o3 = {ideal (y, x)}

o3 : List