Jordan derivations and antiderivations on triangular matrices
Jordan derivations and antiderivations on triangular matrices
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DOI：
10.1016/j.laa.2004.10.017
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发表时间：
2005-03
影响因子：
1.1
通讯作者：
Dominik Benkovič
中科院分区：
文献类型：
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作者：
Dominik Benkovič
定义了从代数A到A-双模M的一个反导子为一个线性映射δ：A→M使得δ（ab）=δ（B）a+Bδ（a），对所有a，B∈A.主要结果是：所有上三角矩阵代数到其双模的若当导子都是一个导子与一个反导子之和。
We define an antiderivation from an algebra A into an A-bimodule M as a linear map δ:A→M such that δ(ab)=δ(b)a+bδ(a) for all a,b∈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.