I am reading Chapter 1, Section 4, Cox et al "Ideals, Varieties and Algorithms"
Exercise 3(a) reads as follows:
In show the following equality of ideals:
<x + y, x - y > = <x, y>
I would appreciate help with this problem.
My 'solution' (of which I am most unsure!!!) is as follows:
Idea generated by x + y, x - y is the ideal
Ideal generated by x, y is the ideal
Can someone please either correct this reasoning or confirm that is is correct/adequate.