Abstract
Let be a triangular algebra. We show that under suitable assumptions every generalized Lie n-derivation
associated with a linear map
is of the form
where
and Δ is a Lie n-derivation of
We solve this problem using commuting and centralizing maps. We also prove that under certain mild conditions any centralizing map on a triangular algebra is commuting. As an application, we give a description of generalized Lie n-derivations on classical examples of triangular algebras: upper triangular matrix algebras and nest algebras.