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MinimalPrimes :: isPrime(Ideal)

isPrime(Ideal) -- whether an ideal is prime

Synopsis

Description

This function determines whether an ideal in a polynomial ring is prime.

i1 : R = QQ[a..d];
i2 : I = monomialCurveIdeal(R, {1, 5, 8})

               2    2      3    2 2   3     3    5        3   5    4
o2 = ideal (a*c  - b d, b*c  - a d , b c - a d, c  - a*b*d , b  - a c)

o2 : Ideal of R
i3 : isPrime I

o3 = true

See also