CHARACTERIZATION OF LIE DERIVATIONS ON PRIME RINGS

被引：40
作者：
Qi, Xiaofei [2 ]
Hou, Jinchuan [1 ,2 ]
机构：
[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
[2] Shanxi Univ, Dept Math, Taiyuan, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 10期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Derivations; Lie derivations; Prime rings; SUBSPACE LATTICE ALGEBRAS; ALL-DERIVABLE POINTS; NEST-ALGEBRAS; OPERATOR-ALGEBRAS; ZERO PRODUCTS; MAPPINGS;
D O I：
10.1080/00927872.2010.512588
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent P. It is shown that, under some mild conditions, an additive map L on R satisfies L([A, B]) = [L(A), (B) + [A, L(B) whenever AB = 0 ( resp., AB = P) if and only if it has the form L(A) = (A) + h(A) for all A is an element of R , where phi is an additive derivation on R and h is an additive map into its center.
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页码：3824 / 3835
页数：12
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