Nonlinear generalized Lie derivations on triangular algebras

Abstract

Let be a triangular algebra and let be a nonlinear generalized Lie derivation with an associated nonlinear map f. It is showed and f are the sum of an additive generalized derivation and a central map vanishing on each commutator, respectively. As applications, nonlinear generalized Lie derivations on some classical triangular algebras are characterized.

Keywords:

• Triangular algebra
• generalized Lie derivation
• nonlinear generalized Lie derivation

AMS Subject Classifications:

• 16W25
• 47L35

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant number 11471199].