binomialUnmixedDecomposition -- Binomial Unmixed Decomposition

Synopsis

• Usage:

  binomialUnmixedDecomposition I

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

Description

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

o1 = R

o1 : PolynomialRing

i2 : I = ideal (x^2, x*y, y^2, x*(z^3-1), y*(z^2-1))

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

o2 : Ideal of R

i3 : bud = binomialUnmixedDecomposition I

              2        2     2         3
o3 = {ideal (y , x*y, x , y*z  - y, x*z  - x)}

o3 : List

i4 : intersect bud == I

o4 = true

Caveat

See also

• BUD -- Binomial Unmixed Decomposition