Noun
hypercomplex number (plural hypercomplex numbers)
(mathematics) Any of several types of extended complex number, consisting of a real part and two or more imaginary parts (each a real multiple of a distinct square root of −1), which may be imagined as a point in a multi-dimensional space.
After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory. Source: Internet
All hypercomplex number systems after sedenions that are based on the Cayley–Dickson construction contain zero divisors. Source: Internet
Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number. Source: Internet
Tensor products The tensor product of any two algebras is another algebra, which can be used to produce many more examples of hypercomplex number systems. Source: Internet
The concept of a hypercomplex number covered them all, and called for a discipline to explain and classify them. Source: Internet
These can be interpreted as the basis of a hypercomplex number system. Source: Internet