Date: Feb 4, 2013 12:42 PM
Author: magidin@math.berkeley.edu
Subject: Re: Finite Rings

On Monday, February 4, 2013 11:12:42 AM UTC-6, quasi wrote:

> >>    x^2 = x,  y^2 = x,  z^2 = x

   [...]

> 
> No -- you misread some of my specified conditions.
> 
> 
> 
> Look more carefully at how I defined the products
> 
> x^2, y^2, z^2.

Quite right; sorry about that.

But now note:   x(yy) = xx = x; but (xy)y = 0y = 0. So you don't have an associative ring.

-- 
Arturo Magidin