Wikipedia and elsewhere seem to say that one can keep on extrapolating forever in hypercomplexification, but that you progressively lose operation-equative symetries or whatever you call, e.g. commutativity, associativity, power-associativity, flexibility, etc.
My question is how to determine what is lost next, and next after that, algorithmically. Also, if the post-sedenions have any specific names, for at least the next stage or two.
I don't know what to search on, as I only became sure I was\am mathematically mature yesterday (literally :f )
