Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure

• Date: 2016
• Main Authors: Kalinovsky, J. A., Boyarinova, Y. E., Sukalo, А. S.
• Format: Article
• Language: Russian
• Published: Інститут проблем реєстрації інформації НАН України 2016
• Subjects: hyper-complex number system; the Grassmann-Clifford doubling procedure; HNS basis; a characteristic equation; an exponential function; associated system of differential equations; commutative
• Online Access: http://drsp.ipri.kiev.ua/article/view/101216
• Journal Title: Data Recording, Storage & Processing

Using the Grassmann-Clifford doubling procedure, the generalized hyper-complex number systems (HNS) of the fourth order has been formed. Available options in the definition of these systems makes them a generalization of whole classes of various HNS. It has been studied the algebraic and functional...