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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Finite Rings
Replies: 28   Last Post: Feb 6, 2013 8:33 AM

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magidin@math.berkeley.edu

Posts: 10,976
Registered: 12/4/04
Re: Finite Rings
Posted: Feb 4, 2013 12:42 PM
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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

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