Jeff, all,
Peirce also pursued nonions (a 9-version /á la/ quaternions, octonions,
etc.), over which he got into a public priority dispute with Sylvester.
https://www.google.com/search?q=%22nonions%22+%22peirce%22+%22sylvester%22
https://www.google.com/search?q=%22nonions%22+%22A+Communication+from+Mr.+Peirce%22
Best, Ben
*On 9/3/2019 3:28 PM, Jeffrey Brian Downard wrote: *
[....]
Cayley–Dickson algebras properties Algebra Dimen‐
sion Ordered Multiplication properties Nontriv.
zero
divisors
Commu‐
tative Associ‐
ative Alter‐
native Power-
assoc.
Real numbers 1 Yes Yes Yes Yes Yes No
Complex num. 2 No Yes Yes Yes Yes No
Quaternions 4 No No Yes Yes Yes No
Octonions 8 No No No Yes Yes No
Sedenions 16 No No No No Yes Yes
This chart is from:
https://en.wikipedia.org/wiki/Cayley%E2%80%93Dickson_construction
[....]
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