Mathematica Bohemica, Vol. 148, No. 3, pp. 329-348, 2023
Investigating generalized quaternions with dual-generalized complex numbers
Nurten Gürses, Gülsüm Yeliz Şentürk, Salim Yüce
Received June 30, 2021. Published online August 3, 2022.
Abstract: 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.
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Affiliations: Nurten Gürses (corresponding author), Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, 34220, Istanbul, Turkey, e-mail: nbayrak@yildiz.edu.tr; Gülsüm Yeliz Şentürk, Department of Computer Engineering, Faculty of Engineering and Architecture, Istanbul Gelisim University, 34310, Istanbul, Turkey, e-mail: gysenturk@gelisim.edu.tr; Salim Yüce, Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, 34220, Istanbul, Turkey, e-mail: sayuce@yildiz.edu.tr
