Jordan derivations and antiderivations on triangular matrices

被引：72
|
作者：
Benkovic, D [1 ]
机构：
[1] Univ Maribor, Maribor 2000, Slovenia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 397卷
关键词：
triangular matrix algebra; Jordan derivation; antiderivation;
D O I：
10.1016/j.laa.2004.10.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define an antiderivation from an algebra A into an A-imodule M as a linear map delta : A --> M such that delta(ab) = delta(b)a + bdelta(a) for all a, b is an element of A. The main result states that every Jordan derivation from the algebra of all upper triangular matrices into its bimodule is the sum of a derivation and an antiderivation. (C) 2004 Elsevier Inc. All rights reserved.
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页码：235 / 244
页数：10
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