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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Emel Karaca & Fatih Yılmaz & Mustafa Çalışkan, 2020. "A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2149-:d:454900
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