The Fundamental Algebraic Properties of Split Quasi-Octonions

Yıl 2016, Cilt: 5 Sayı: 3, 118 - 122, 01.11.2016

Mehdi Jafari

Öz

The fundamental properties of split quasi-octonion algebra, O’q, and definitions of fundamental operations such as scalar and vector parts, conjugate, norm, and polar form are presented. We explain the Cayley-Dickson construction of split quasi-octonion algebra, in particular we provide table of the octonion multiplication

Anahtar Kelimeler

Alternativity, Cayley-Dickson construction, Split quasi-octonion, Trigonometric form

Split kuazi-oktonyonların temel cebirsel özellikleri

Öz

Split kuaz-oktonyonların temel cebirsel özellikleri ve bazı temel operasyonlar tanımları, örneğin, skalar ve vektör parçaları, eşlenik, norm ve polar formu sunulmuştur. Split kuazi-oktonyonlar cebirin üzerinde Cayley-Dickson yapısını açıkladık, ve oktoniyon çarpım tablosunu temin ettik

Anahtar Kelimeler

Alternativite, Cayley-Dickson yapısı, Split kuazi-octonion, Trigonometrik form

Kaynakça

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