1. hypercomplex - Noun
2. hypercomplex - Adjective
hypercomplex (not comparable)
(mathematics) Describing any of several types of higher-dimensional numbers having some characteristics of complex numbers.
hypercomplex (plural hypercomplexes)
(mathematics) A hypercomplex number.
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
A technical approach to hypercomplex numbers directs attention first to those of dimension two. Source: Internet
All hypercomplex number systems after sedenions that are based on the Cayley–Dickson construction contain zero divisors. Source: Internet
In 1907 Joseph Wedderburn showed that associative hypercomplex systems could be represented by matrices, or direct sums of systems of matrices. Source: Internet
Linear Associative Algebra (1881) American Journal of Mathematics 4(1):221 6 Most significantly, they identified the nilpotent and the idempotent elements as useful hypercomplex numbers for classifications. Source: Internet
Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number. Source: Internet