Added 2018.10.30: The Dixon Algebra.
No longer can one count on the fingers of one hand the number of times
has been refered to in the literature (popular and technical) as the Dixon Algebra.
Still, as I recently discovered, and am in agreement with, this is not enough
attention to warrant an inclusion in Wikipedia. For the nonce, therefore, it shall remain a Wikiwannabe only. This link takes you to a copy
of the page I constructed for Wikipedia. Yes, it is self-serving, but lest it die
alone and unwanted, herewith, The Dixon Algebra.