A note on Lie automorphisms, subrings, and Lie ideals of prime rings

被引：3
|
作者：
Wang, Y [1 ]
机构：
[1] Jilin Univ, Sch Math, Siping 136000, Jilin, Peoples R China
[2] Harbin Inst Technol, Sch Sci, Dept Math, Harbin 150006, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期
关键词：
automorphism; Lie ideal; prime ring;
D O I：
10.1080/00927870500261363
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a prime ring of characteristic not 2 or 3 and L a noncentral Lie ideal of R . Suppose that sigma is a Lie automorphism on L such that sigma(2) - 1 is noncentral on L , where 1 is the identity map, then the subring of R generated by the set {[x(sigma) , x] vertical bar x is an element of L} contains a nonzero ideal of R .
引用
收藏
页码：4057 / 4062
页数：6
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