Author:
Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova, Alina S. Turenko

(Submitted on 9 Sep 2014)

Abstract:
The class of non-commutative hypercomplex number systems (HNS) of
4-dimension constructed by using of non-commutative procedure of
Grassman-Clifford doubling of 2-dimensional systems is investigated in the
article. All HNS of this class are constructed, algorithms of performance of
operations and methods of algebraic characteristics calculation in them,
such as conjugation, normalization, a type of zero dividers are
investigated. Formulas of exponential functions representation in these
systems are displayed.