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Article

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

1
Polatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, Turkey
2
Faculty of Science, Gazi University, Ankara 06560, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(12), 2149; https://doi.org/10.3390/math8122149
Received: 10 September 2020 / Revised: 19 October 2020 / Accepted: 29 October 2020 / Published: 2 December 2020
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. View Full-Text
Keywords: quaternions; split quaternions with quaternion coefficients; dual quaternions quaternions; split quaternions with quaternion coefficients; dual quaternions
MDPI and ACS Style

Karaca, E.; Yılmaz, F.; Çalışkan, M. A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients. Mathematics 2020, 8, 2149. https://doi.org/10.3390/math8122149

AMA Style

Karaca E, Yılmaz F, Çalışkan M. A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients. Mathematics. 2020; 8(12):2149. https://doi.org/10.3390/math8122149

Chicago/Turabian Style

Karaca, Emel, Fatih Yılmaz, and Mustafa Çalışkan. 2020. "A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients" Mathematics 8, no. 12: 2149. https://doi.org/10.3390/math8122149

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