Work

On Dual Type Octonions and Their Properties

Year: 2025

Type: article

Abstract: In this study, we will define dual-type octonions by drawing inspiring from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and non-isotropic 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.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1590392

Authors: Ali Dağdeviren, Ferhat Kuruz

Institutions: Ahmet Yesevi University, İstanbul Gelişim Üniversitesi

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411765924

FWCI: 3.739

Cites: 28

Cited by: 2

Related to: 10