# minimalPart -- intersection of the minimal components

## Synopsis

• Usage:
minimalPart(I)
• Inputs:
• Outputs:
• an ideal, the intersection of the components of I corresponding to minimal primes

## Description

Eliminates embedded components of a given ideal

 i1 : R = QQ[x,y,z] o1 = R o1 : PolynomialRing i2 : J = intersect(ideal(x^2,y,z^3),ideal(x,z)) 2 3 o2 = ideal (y*z, x*y, x , z ) o2 : Ideal of R i3 : minimalPart(J) o3 = ideal (z, x) o3 : Ideal of R