One Parameter Commutative Octonions
Yazarlar (1)
Prof. Dr. Göksal BİLGİCİ Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Konuralp Journal of Mathematics | ||
| Dergi ISSN | 2147-625X Scopus Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | Türkçe | Basım Tarihi | 10-2023 |
| Cilt / Sayı / Sayfa | 11 / 2 / 169–175 | DOI | – |
| Özet |
| Hyperbolic numbers had been developed in the 19th century. Octonions forms a noncommutative and nonassociative normed division algebra over reals. Octonions have many applications in fields of physics such as quantum logic and string theory. Cayley-Dickson process is applied to quaternions in order to construct octonions and in a sense, we follow a similar process. The aim of this study is to introduce the concept of commutative octonions. We construct this algebra by using some matrix methods. After construction, we give a number of properties of commutative octonions such as fundamental matrices and principal conjugates. We also obtain representation of a commutative octonion as decomposed form, holomorphic and analytic functions of commutative octonions. |
| Anahtar Kelimeler |
| Commutative octonions | holomorphic functions | Segre’s quaternions |