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J. Korean Math. Soc. 2012; 49(2): 419-433
Printed March 1, 2012
https://doi.org/10.4134/JKMS.2012.49.2.419
Copyright © The Korean Mathematical Society.
Characterizations of Lie higher and Lie triple derivations on triangular algebras
Jiankui Li and Qihua Shen
East China University of Science and Technology, East China University of Science and Technology
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.
Keywords: Lie derivation, Lie higher derivation, Lie triple derivation, triangular algebra
MSC numbers: Primary 47L35; Secondly 16W25
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