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

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Posts: 12,067
Registered: 7/15/05
Re: Finite Rings
Posted: Feb 4, 2013 12:55 PM
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Arturo Magidin wrote:
>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.


It never occurred to me that I'd lost associativity.

That pretty much destroys my attempted counterexample.

Oh well.

Thanks for the identifying the issue.


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