A method to give a series of multirings on a body formed by the whole real numbers, where each step of the multirings has twice the dimension of the previous one. [Cary-Dixon’s construct method - Wikipedia https://ja.wikipedia.org/wiki/%E3%82%B1%E3%83%BC%E3%83%AA%E3%83%BC%EF%BC%9D%E3%83%87%E3%82%A3%E3%82%AF%E3 %82%BD%E3%83%B3%E3%81%AE%E6%A7%8B%E6%88%90%E6%B3%95]
- real number → complex number → quaternion → [characteristic (of a ring or field in algebra)
Octal numbers are decoupled (not associative)
- (pq)r=p(qr) does not hold in general alternating
- x(xy) = (xx)y
- (yx)x = y(xx)
It is not even alternating after 16 yuan numbers.
- power connectivity is there.
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