http://www.mapleprimes.com/posts/120923-Enumerating-Small-Magmas en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 07:32:33 GMT Thu, 11 Jun 2026 07:32:33 GMT The latest comments added to the Post, Enumerating Small Magmas http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/120923-Enumerating-Small-Magmas http://www.mapleprimes.com/posts/120923-Enumerating-Small-Magmas?ref=Feed:MaplePrimes:Enumerating Small Magmas:Comments#comment120989 <p>I find it very useful, thanks. Can you kindly enumerate&nbsp; all monoids of order 6 as another example?</p> The latest comments added to the Post, Enumerating Small Magmas 120989 Thu, 02 Jun 2011 15:06:30 Z hirnyk hirnyk http://www.mapleprimes.com/posts/120923-Enumerating-Small-Magmas?ref=Feed:MaplePrimes:Enumerating Small Magmas:Comments#comment121018 <p>Sure. The 'monoid' property is one of the builtin properties, so you can just pass that name as a keyword option. The command</p> <pre>&gt; Magma:-Enumerate( 6, 'monoid' ); 2237 </pre> <p>does the job. Using this, it is easy to construct a table of the numbers of isomorphism classes of monoids up to order 7.</p> <pre> Order No. Monoids 2 2 3 7 4 35 5 228 6 2237 7 31559 8 1668997 </pre> <p>The order 8 result takes quite awhile to run, and saving the results produced a file of about 350 Mb!</p> The latest comments added to the Post, Enumerating Small Magmas 121018 Fri, 03 Jun 2011 01:35:54 Z james1482 james1482