@article{Liang2024, 
author = {Xinfeng Liang and Mengya Zhang},
title = {Triangular algebras with nonlinear higher Lie n-derivation by local actions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {2549-2583},
keywords = {higher Lie n-derivation, higher derivations, local action, triangular algebras, nest algebras},
url = {https://www.sciopen.com/article/10.3934/math.2024126},
doi = {10.3934/math.2024126},
abstract = {This paper was devoted to the study of the so-called nonlinear higher Lie n-derivation of triangular algebras        T  , where    n is a nonnegative integer greater than two. Under some mild conditions, we proved that every nonlinear higher Lie n-derivation by local actions on the triangular algebras is of a standard form. As an application, we gave a characterization of higher Lie    n-derivation by local actions on upper triangular matrix algebras, block upper triangular matrix algebras and nest algebras, respectively.}
}