# Ideal + Ideal -- sum of ideals

## Synopsis

• Operator: +
• Usage:
I + J
• Inputs:
• Outputs:
• an ideal, the sum of the two ideals I and J

## Description

 i1 : R = QQ[t][a..d]; i2 : I = ideal(a,(t+1)*c) + ideal(a^2,b^2) 2 2 o2 = ideal (a, (t + 1)c, a , b ) o2 : Ideal of R
The generators produced are not generally minimal. Use trim(Ideal) or mingens(Ideal) to find a smaller generating set.
 i3 : trim I 2 o3 = ideal (a, (t + 1)c, b ) o3 : Ideal of R