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On the algebra of split quaternions

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2025
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Abstract (EN)

This thesis consists of five chapters. The first chapter is the introduction part. In the second chapter, basic definitions and theorems are given. Basic definitions, theorems and concepts of real quaternions are given and their algebraic properties are mentioned. In the third chapter, the basic definitions, theorems and concepts of split quaternions, which form the basis of this study, are given. Also in this part, algebraic properties of split quaternions are given. The fourth section constitutes the original part of this thesis. The relation of split quaternions with Hamilton operators is investigated and their properties are given. Finally, the theory is supported by giving examples. The fifth chapter is devoted to conclusions and recommendations.

Author

Özlem Haklı

How to Cite

Özlem Haklı (Master Thesis). On the algebra of split quaternions, 2025, Selçuk University.

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