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Investigating generalized quaternions with dual-generalized complex numbers

Nurten Gürses;  Gülsüm Yeliz Şentürk;  Salim Yüce — 2023

Mathematica Bohemica

We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values α , β and 𝔭 . Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.

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