# binomialRadical -- Radical of a binomial ideal

## Synopsis

• Usage:
• Inputs:
• I, a binomial ideal
• Outputs:
• the radical of I

## Description

If the input is a cellular binomial ideal then a very fast algorithm is used. If one knows this and also the cellular variables then cellularBinomialRadical should be used.
 i1 : R = QQ[x,y] o1 = R o1 : PolynomialRing i2 : I = ideal (y^2, x*y-y, x^2-1) 2 2 o2 = ideal (y , x*y - y, x - 1) o2 : Ideal of R i3 : binomialRadical I 2 2 o3 = ideal (y , x*y - y, x - 1, y) o3 : Ideal of R