@article{Li2024, 
author = {Shan Li and Kaijia Luo and Jiankui Li},
title = {Generalized Lie  n-derivations on generalized matrix algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {29386-29403},
keywords = {generalized Lie n-derivation, Lie n-derivation, generalized matrix algebra},
url = {https://www.sciopen.com/article/10.3934/math.20241424},
doi = {10.3934/math.20241424},
abstract = {Let  G be a generalized matrix algebra. We show that under certain conditions, each generalized Lie  n-derivation associated with a linear map on  G is a sum of a generalized derivation and a central map vanishing on all  (n−1)-th commutators and is also a sum of a generalized inner derivation and a Lie  n-derivation. As an application, generalized Lie  n-derivations on von Neumann algebras are characterized.}
}