Talk:Medial

From Wikipedia, the free encyclopedia

I just finished a major edit of this page. I reintroduced the magma terminology (because "medial algebra" isn't used in practice), added examples, and made various other improvements. An earlier discussion about the cartesian square of the operation was confusing, because that is not an endomorphism, it's a homomorphism. I hope the present discussion is clearer.

What I'd still like to add is a section describing the Toyoda-Bruck theorem (it characterizes medial quasigroups in terms of abelian groups) and some remarks about the mode/modal terminology of Romanowska and Smith. I'm not sure when I'll have time to do this, though. --Michael Kinyon 00:33, 31 July 2006 (UTC)