@article{Yuan2024, 
author = {He Yuan and Qian Zhang and Zhendi Gu},
title = {Characterizations of generalized Lie  n-higher derivations on certain triangular algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {29916-29941},
keywords = {triangular algebra, generalized Lie n-higher derivation, generalized higher derivation, Lie n-higher derivation, generalized Lie n-derivation},
url = {https://www.sciopen.com/article/10.3934/math.20241446},
doi = {10.3934/math.20241446},
abstract = {The aim of this paper was to provide a characterization of nonlinear generalized Lie  n-higher derivations for a certain class of triangular algebras. It was shown that, under some mild conditions, each component  Gr of a nonlinear generalized Lie  n-higher derivation  {Gr}r∈N of the triangular algebra  U could be expressed as the sum of an additive generalized higher derivation and a nonlinear mapping vanishing on all ( n−1)-th commutators on  U.}
}