Date: Jan 20, 2001 9:04 PM
Author: oooF
Subject: Re: FLT Discussion: Simplifying



<jstevh@my-deja.com> wrote in message news://94cvf0$4p6$1@nnrp1.deja.com...

[...]

> Let's say that I'm in some other ring besides integers. All the
> results I've given are still true. That is,
>
> (x+sqrt(-1)y)(x-sqrt(-1)y) = x^2 + y^2, and if x^2 + y^2 = 0, then
>
> (x+sqrt(-1)y)(x-sqrt(-1)y) = 0.
>
> You've all been insisting that I have to know what ring x and y are in
> to prove whether or not this means that
>
> (x+sqrt(-1)y) = 0 *or* (x-sqrt(-1)y) = 0.



1. What is x and y?

2. What is sqrt(-1) exactly?

3. How are the operations (+,*) defined?

4. In what ring (if any) are (x + sqrt(-1)y) and (x - sqrt(-1)) in?