Additive Lie (ξ-Lie) Derivations and Generalized Lie (ξ-Lie) Derivations on Prime Algebras

被引：0
|
作者：
Xiao Fei QI [1 ]
Jin Chuan HOU [2 ]
机构：
[1] Department of Mathematics,Shanxi University
[2] Department of Mathematics,Taiyuan University of Technology
来源：
Acta Mathematica Sinica,English Series | 2013年 / 02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：
Prime algebras; ξ-Lie derivations; generalized ξ-Lie derivations;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
The additive(generalized)ξ-Lie derivations on prime algebras are characterized. It is shown, under some suitable assumptions, that an additive map L is an additive generalized Lie derivation if and only if it is the sum of an additive generalized derivation and an additive map from the algebra into its center vanishing all commutators; is an additive(generalized)ξ-Lie derivation with ξ = 1 if and only if it is an additive(generalized)derivation satisfying L(ξA)= ξL(A)for all A. These results are then used to characterize additive(generalized)ξ-Lie derivations on several operator algebras such as Banach space standard operator algebras and von Neumman algebras.
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页码：383 / 392
页数：10
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