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Binomials :: ReturnPrimes

ReturnPrimes -- return two associated primes

Description

If cellularBinomialIsPrimary does not return true it can either return 'false' or two associated primes. If this option is set then two associated primes are returned. If ReturnPChars is set too, then partial characters will be returned. 
i1 : R = QQ[x,y,z]

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

Functions with optional argument named ReturnPrimes :

For the programmer

The object ReturnPrimes is a symbol.