From: Severian 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 --------------------------------------------------------------- Victor Meldrew: "The police can use sperm now as a way of fingerprinting people." Mrs Warboys: "I don't see what was wrong with the old inkpads." --------------------------------------------------------------- David Renwick, _One Foot in the Grave_