On Dual Type Octonions and Their Properties

Dağdev˙ıren A., KÜRÜZ F.

Turkish Journal of Mathematics and Computer Science, cilt.17, sa.1, ss.93-101, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.47000/tjmcs.1590392
  • Dergi Adı: Turkish Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.93-101
  • Anahtar Kelimeler: De-Moivre formula, dual-type octonions, Euler’s formula, Galilean Geometry, Octonions
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

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.