- Marmara Fen Bilimleri Dergisi
- Vol: 28 Issue: 3
- On The Para-Octonions; a Non-Associative Normed Algebra
On The Para-Octonions; a Non-Associative Normed Algebra
Authors : Mehdi Jafari
Pages : 95-99
Doi:10.7240/mufbed.36025
View : 21 | Download : 31
Publication Date : 2016-12-31
Article Type : Research
Abstract :In this paper, para-octonions and their algebraic properties are provided by using the Cayley-Dickson multiplication rule between the octonionic basis elements. The trigonometric form of a para-octonion is similar to the trigonometric form of dual number and quasi-quaternion. We study the De-Moivre’s theorem for para-octonions, extending results obtained for real octonions and defining generalize Euler’s formula for para-octonions.Keywords : Alternativity, Cayley-Dickson construction, De-Moivre’s formula, Para-octonion