From: Severian <severian@matachin.fsnet.co.uk>
Subject: Re: smallest noncommutative ring
Date: Sat, 24 Jun 2000 11:40:42 +0100
Newsgroups: sci.math
Summary: [missing]

Siu Lok Shun wrote:
> 
> Hello everybody,
> 
> I now think of what is the size of the smallest noncommutative ring.
> Clearly M_2(Z_2) is an example of noncommutive ring with 8 elements, but
> is there any smaller?

That has 16 elements. Look at its subring of upper triangular
matrices. No noncommutative ring with 1 can have fewer than 8 elements.

-- 
Severian
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