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

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