In Chapter 1, Section 4 of Cox et al "Ideals, Varieties and Algorithms, Exercise 3(c) reads as follows:

Prove the following equality of ideals in :

Any help with this problem would be appreciated.

Peter

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- July 26th 2013, 06:15 PMBernhardAlgebraic Varieties and Ideals
In Chapter 1, Section 4 of Cox et al "Ideals, Varieties and Algorithms, Exercise 3(c) reads as follows:

Prove the following equality of ideals in :

Any help with this problem would be appreciated.

Peter - July 30th 2013, 04:15 PMDevenoRe: Algebraic Varieties and Ideals
I will give you one half:

Your turn. - August 2nd 2013, 04:00 PMBernhardRe: Algebraic Varieties and Ideals
- August 3rd 2013, 02:45 AMDevenoRe: Algebraic Varieties and Ideals
Note this shows the generators of ideals in Q[x,y] aren't even unique up to units. Also, this is just high-school algebra in fancier clothes.