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