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

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

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...

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Datum:2015
Hauptverfasser: Kalinovsky, Ya. O., Boyarinova, Yu. E., Sukalo, A. S.
Format: Artikel
Sprache:Ukrainian
Veröffentlicht: Інститут проблем реєстрації інформації НАН України 2015
Schlagworte:
quaternion
generalized quaternion
hypercomplex number system
zero divisor
pseudonorm
conjugation
Grassman-Clifford procedure of doubling
Online Zugang:http://drsp.ipri.kiev.ua/article/view/100305
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Назва журналу:Data Recording, Storage & Processing

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Data Recording, Storage & Processing
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Zusammenfassung: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 of algebraic characteristics calculation in them, such as conjugation, normalization and a type of zero dividers have been investigated. Tabl.: 3. Refs: 14 titles.

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