• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Communitive Octonion Multiplication Catullus Fellow Posts: 205 Threads: 46 Joined: Jun 2022   06/24/2022, 07:12 AM (This post was last modified: 06/25/2022, 07:23 AM by Catullus.) What would happen if you defined a communitive multiplication for octonions as k^(log(k,a)+log(k,b)), for some k such as sqrt(2)? ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Please remember to stay hydrated. Sincerely: Catullus JmsNxn Ultimate Fellow Posts: 940 Threads: 112 Joined: Dec 2010 06/24/2022, 08:44 AM (06/24/2022, 07:12 AM)Catullus Wrote: What would happen if you defined a communitive multiplication for octonions as log(k,k^a+k^b), for some k such as sqrt(2)? Something ridiculous. You would still have a noncommutative ring of octonions. But now you attach a secondary commutative group, written based off of analytic operators you'd have to prove exist in the first place. I imagine asking this for quaternions would be hard enough. Instead of asking, perhaps look into how to solve it of your own accord. « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Octonion Hyper-Operations Catullus 3 513 07/05/2022, 08:53 AM Last Post: Catullus between addition and multiplication lloyd 27 51,394 03/16/2011, 07:13 PM Last Post: lloyd

Users browsing this thread: 1 Guest(s)