Using an elementary method, we give a new proof of the all-associativity of octonions. As some applications, the known T......

运用配方法，研究形如χ2+x+c=0的四元数及八元数方程解的显式表示，得到解的求根公式，并且给出了数值例子。......

We identify R7 as the pure imaginary part of octonions. Then the multiplication in octonions gives a natural almost comp......

We prove that the oetonionie polynomials Vl1(×)k…1k k are independent of the as- sociative orders (×)k. This improves......