@article{Liu2023, 
author = {Dan Liu and Jianhua Zhang and Mingliang Song},
title = {Local Lie derivations of generalized matrix algebras},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6900-6912},
keywords = {Lie derivation, generalized matrix algebra, local Lie derivation, full matrix algebra},
url = {https://www.sciopen.com/article/10.3934/math.2023349},
doi = {10.3934/math.2023349},
abstract = {In this paper, we investigate local Lie derivations of a certain class of generalized matrix algebras and show that, under certain conditions, every local Lie derivation of a generalized matrix algebra is a sum of a derivation and a linear central-valued map vanishing on each commutator. The main result is then applied to full matrix algebras and unital simple algebras with nontrivial idempotents.}
}