| Yazarlar (1) |
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye |
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayımlanan tam makale |
| Dergi Adı | Konuralp Journal of Mathematics |
| Dergi ISSN | 2147-625X |
| Dergi Tarandığı Indeksler | MathSciNet |
| Makale Dili | Türkçe |
| Basım Tarihi | 10-2023 |
| Cilt No | 11 |
| Sayı | 2 |
| Sayfalar | 169 / 175 |
