Research ArticleNo Access

Geometric 3-space and multiplicative quaternions

Selahattin Aslan

https://orcid.org/0000-0001-5322-3265

Department of Mathematics, Ankara University, 06100 Ankara, Turkey

E-mail Address: selahattinnaslan@gmail.com

Corresponding author.

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Murat Bekar

Department of Mathematics Education, Gazi University Ankara, Turkey

E-mail Address: murat-bekar@hotmail.com

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, and

Yusuf Yayli

Department of Mathematics, Ankara University, 06100 Ankara, Turkey

E-mail Address: yayli@science.ankara.edu.tr

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https://doi.org/10.1142/S0219887823501517Cited by:5 (Source: Crossref)

Abstract

In this paper, we introduce a new vector space, the three-dimensional geometric real vector space $ℝ^{3} (G)$ , and a new number system, multiplicative quaternions $ℍ (G)$ . We give some basic algebraic properties of these concepts. We define spatial rotation in $ℝ^{3} (G)$ by using multiplicative quaternions. Finally, we give an example to illustrate our results.

Keywords:

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