NONCOMMUTATIVE MATRIX JORDAN ALGEBRAS, CAYLEY-DICKSON ALGEBRAS, AND SCHAFERS THEOREM

被引：3
|
作者：
BROWN, RB [1 ]
HOPKINS, NC [1 ]
机构：
[1] INDIANA STATE UNIV,DEPT MATH & COMP SCI,TERRE HAUTE,IN 47809
来源：
COMMUNICATIONS IN ALGEBRA | 1995年 / 23卷 / 01期
关键词：
D O I：
10.1080/00927879508825226
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and pre show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dickson process is studied, and the result on derivations is used to obtain a generalization of Schafer's classical theorem on the derivation algebras of Cayley-Dickson algebras.
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页码：373 / 397
页数：25
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