Date: Feb 4, 2013 12:42 PM Author: firstname.lastname@example.org 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.