Study of relations between the generalized quaternions and procedure of doubling of hypercomplex numerical systems

• Date: 2015
• Main Authors: Kalinovsky, Ya. O., Boyarinova, Yu. E., Sukalo, A. S.
• Format: Article
• Language: Ukrainian
• Published: Інститут проблем реєстрації інформації НАН України 2015
• Subjects: quaternion; generalized quaternion; hypercomplex number system; zero divisor; pseudonorm; conjugation; Grassman-Clifford procedure of doubling
• Online Access: http://drsp.ipri.kiev.ua/article/view/100305
• Journal Title: Data Recording, Storage & Processing

The class of non-commutative hypercomplex number systems of 4-dimension, constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional systems is investigated and established their relations with the generalized quaternions. Algorithms of the operations and methods...