On The Para-Octonions; a Non-Associative Normed Algebra

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Marmara Fen Bilimleri Dergisi
Volume: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 : 29 | Download : 29

Publication Date : 2016-12-31

Article Type : Research Paper

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 Moivres formula, Para octonion

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