On Dual Type Octonions and Their Properties

Dağdev˙ıren A., KÜRÜZ F.

Turkish Journal of Mathematics and Computer Science, vol.17, no.1, pp.93-101, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.47000/tjmcs.1590392
  • Journal Name: Turkish Journal of Mathematics and Computer Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.93-101
  • Keywords: De-Moivre formula, dual-type octonions, Euler’s formula, Galilean Geometry, Octonions
  • Istanbul Gelisim University Affiliated: Yes

Abstract

In this study, we will define dual-type octonions by drawing inspiration from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and nonisotropic dual-type octonions, we present Euler’s and De Moivre’s formulas for dual-type octonions. Finally, we give a matrix representation of dual-type octonions.