Characterizing additive ξ-Lie derivations of prime algebras by ξ-Lie zero products

被引：15

作者：

Qi, Xiaofei ^{[2
]}

Cui, Jianlian ^{[3
]}

Hou, Jinchuan ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Prime algebras; Derivations; xi-Lie product; xi-Lie derivations; ALL-DERIVABLE POINTS; SUBSPACE LATTICE ALGEBRAS; NEST-ALGEBRAS; BANACH-SPACE; COMMUTATIVITY; RINGS;

D O I：

10.1016/j.laa.2010.09.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a unital prime algebra with a non-trivial idempotent over a field F. For any scalar xi is an element of F, all additive maps L : A -> A satisfying [L(A), B](xi) + [A, L(B)](xi) = 0 whenever [A, B](xi) = 0 are characterized and the relation of L to the derivations are revealed, where [A, B](xi) = AB - xi BA is the xi-Lie product of A, B is an element of A. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：669 / 682

页数：14

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