Thread: Looking for the solution of this exercise

1. Looking for the solution of this exercise

Find all ring homomorphism from ℤ×ℤ to ℤ

2. Re: Looking for the solution of this exercise

Homomorphism
Mathematics.
An into map between two sets that preserves relations between elements.

3. Re: Looking for the solution of this exercise

There are exactly 9 ring homomorphisms. Here they are:

4. Re: Looking for the solution of this exercise

My apologies; the previous post is nonsense. Somehow, I thought the integer solutions to $x^2=x$ were 0, 1 and -1! Here's the corrected version:

5. Re: Looking for the solution of this exercise

I hope this is the last correction. This question is making me feel kind of stupid. Obviously, rings are not my forte.

6. Re: Looking for the solution of this exercise

Thanks Dear...This last try is best & correct