Geodesic
Investigating generalized quaternions with dual-generalized complex numbers
Mathematica Bohemica, Tome 148 (2023) no. 3, pp. 329-348.

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We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha $, $\beta $ and $\mathfrak {p}$. 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.
DOI : 10.21136/MB.2022.0096-21
Classification : 11R52, 15B33
Keywords: generalized quaternion; dual-generalized complex number; matrix representation 
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Gürses, Nurten; Şentürk, Gülsüm Yeliz; Yüce, Salim. Investigating generalized quaternions with dual-generalized complex numbers. Mathematica Bohemica, Tome 148 (2023) no. 3, pp. 329-348. doi : 10.21136/MB.2022.0096-21. http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0096-21/

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