cellularBinomialAssociatedPrimes -- Associated primes of a cellular binomial ideal

• Usage:

  cellularBinomialAssociatedPrimes I

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

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing

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

             2
o2 = ideal (x  - 1, - x + y)

o2 : Ideal of R

i3 : cv = isCellular (I,ReturnCellVars=>true)

o3 = {x, y}

o3 : List

i4 : cellularBinomialAssociatedPrimes (I,CellVariables=>cv)

o4 = {ideal (y - 1, x - 1), ideal (y + 1, x + 1)}

o4 : List