Re: Why is there no *really* useful Algebra beyond complex numbers?

Anton Suchaneck wrote: 
Does anyone know *the* reason, why for example quaternions and other algebra
are not as mighty as complex numbers?

What do you mean by 'mighty'? One could easily claim that quaternions are even more mighty than complex numbers, since they are a superset of complex numbers.
Also, quaternions are very useful for representing and manipulating rotations in a non-euler angle way that avoids gimbol lock and other nastiness.

Is there no way to extend complex number to be even more useful? :)

There are some variants like the hypercomplex numbers that aren't quite the same as quaternions. Not sure how useful they are.
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