CHARACTERIZATIONS OF LIE HIGHER AND LIE TRIPLE DERIVATIONS ON TRIANGULAR ALGEBRAS
CHARACTERIZATIONS OF LIE HIGHER AND LIE TRIPLE DERIVATIONS ON TRIANGULAR ALGEBRAS
复制标题
DOI：
10.4134/jkms.2012.49.2.419
复制
发表时间：
2012-03
影响因子：
4.5
通讯作者：
Jiankui Li;Q. Shen
中科院分区：
文献类型：
--
作者：
Jiankui Li;Q. Shen
本文证明了在一定条件下，三角代数上的每一个李高导子和李三导子都是适当的。然后将主要结果应用于（块）上三角矩阵代数和套代数。
In this paper, we show that under certain conditions every Lie higher derivation and Lie triple derivation on a triangular algebra are proper, respectively. The main results are then applied to (block) upper triangular matrix algebras and nest algebras.