Generalized Lie derivations on triangular algebras
Generalized Lie derivations on triangular algebras
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DOI：
10.1016/j.laa.2010.11.039
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发表时间：
2011-03
影响因子：
1.1
通讯作者：
Dominik Benkovič
中科院分区：
文献类型：
--
作者：
Dominik Benkovič
设A是酉代数，M是酉A-双模.考虑从A到M的广义李导子映射。我们的结果适用于三角代数，特别是套代数和（块）上三角矩阵代数。证明了在一定条件下，三角代数A的每个广义李导子都是一个广义导子与一个在A的所有扩张子上为零的中心映射之和。
Let A be a unital algebra and let M be a unitary A-bimodule. We consider generalized Lie derivations mapping from A to M. Our results are applied to triangular algebras, in particular to nest algebras and (block) upper triangular matrix algebras. We prove that under certain conditions each generalized Lie derivation of a triangular algebra A is the sum of a generalized derivation and a central map which vanishes on all commutators of A.