A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

Emel Karaca, Fatih Yılmaz and Mustafa Çalışkan
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Emel Karaca: Polatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, Turkey
Fatih Yılmaz: Polatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, Turkey
Mustafa Çalışkan: Faculty of Science, Gazi University, Ankara 06560, Turkey

Mathematics, 2020, vol. 8, issue 12, 1-15

Abstract: This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.

Keywords: quaternions; split quaternions with quaternion coefficients; dual quaternions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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