cellularBinomialIsPrimary -- test for primaryness of a binomial ideal

Synopsis

• Usage:

  cellularBinomialIsPrimary I

• Inputs:
  • I, a binomial ideal
• Optional inputs:
  • CellVariables => ..., default value null, cellular variables
  • ReturnPChars => ..., default value false, return two partial characters
  • ReturnPrimes => ..., default value false, return two associated primes
• Outputs:
  • true or false, depending on whether I is a binomial primary ideal

Description

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing

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

            2
o2 = ideal(x  - 1)

o2 : Ideal of R

i3 : cellularBinomialIsPrimary (I,ReturnPrimes=>true)
The radical is not prime, as the character is not saturated

o3 = {ideal (x - 1, x - 1), ideal(x + 1)}

o3 : List

See also

• cellularBinomialIsPrimary -- test for primaryness of a binomial ideal
• CellVariables -- cellular variables
• ReturnPrimes -- return two associated primes
• ReturnPChars -- return two partial characters