On a new approach to the construction of hypercomplex number systems of rank two over the field of complex numbers

• Datum: 2011
• Hauptverfasser: Klipkov, S. I., Клипков, С. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2704
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By using the introduced notion of a parameter of hypercomplex numerical system, we propose a new approach to the construction of a hypercomplex numerical systems of rank two over a field of complex numbers. We show that quadroplex (bicomplex) numbers and quaternions can be considered as a special c...