THE ALL-ASSOCIATIVITY OF OCTONIONS AND ITS APPLICATIONS  

作　　者：Jianquan Liao Jinxun Wang Xingmin Li 

机构地区：[1]Capital Normal University, China [2]University of Macao, China [3]South China Normal University, China

出　　处：《Analysis in Theory and Applications》2010年第4期326-338,共13页分析理论与应用（英文刊）

基　　金：Supported in part by the Doctoral Station Grant of Chinese Education Committee (20050574002), P. R. China

摘　　要：Using an elementary method, we give a new proof of the all-associativity of octonions. As some applications, the known Taylor theorem is improved, and a new definition and new properties of octonionic determinant are also obtained.

关 键 词：OCTONIONS ASSOCIATIVITY PERMUTATION DETERMINANT 

分 类 号：O112[理学—数学] TP317[理学—基础数学]