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20
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What do we lose passing from the reals to the complex numbers?
As normed division algebras, when we go from the complex numbers to the quaternions, we lose commutativity. Moving on to the octonions, we lose associativity. Is there some analogous property that we ...
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1answer
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Sub division rings of division rings
Below $^\ast$ denotes "nonzero elements of".
There is a problem in Jacobson's Basic Algebra 1, there is a problem to this effect: if $S$ is a subdivision ring of $\mathbb{H}$ such that $S^\ast$ is a ...
1
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0answers
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A question about hypercomplex numbers: quaternions, octonions etc [duplicate]
Possible Duplicate:
Why is 8 so special?
First of all let me state that I am not a mathematician but I work in computer science and engineering.
I was reading about hypercomplex numbers, ...
