Lie Triple Derivations on Triangular Matrices

被引：14
作者：
Benkovic, Dominik [1 ]
机构：
[1] Univ Maribor, FNM, SLO-2000 Maribor, Slovenia
来源：
ALGEBRA COLLOQUIUM | 2011年 / 18卷
关键词：
triangular matrix algebra; Lie triple derivation; Lie derivation; derivation; JORDAN DERIVATIONS; BANACH-ALGEBRAS; SYMMETRIC AMENABILITY; NEUMANN ALGEBRAS; MAP CONJECTURES; NEST-ALGEBRAS; RINGS; COMMUTATIVITY; MAPPINGS;
D O I：
10.1142/S1005386711000708
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let T(n)(C) be the algebra of all n x n upper triangular matrices over a commutative unital ring C, and let M be a 2-torsion free unital T(n)(C)-bimodule. We show that every Lie triple derivation d : T(n)(C) -> M is a sum of a standard Lie derivation and an antiderivation.
引用
收藏
页码：819 / 826
页数：8
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