@article{Yuan2023, 
author = {He Yuan and Zhuo Liu},
title = {Lie    n-centralizers of generalized matrix algebras},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {14609-14622},
keywords = {Lie n-centralizer, generalized matrix algebra, generalized Lie n-derivation},
url = {https://www.sciopen.com/article/10.3934/math.2023747},
doi = {10.3934/math.2023747},
abstract = {In this paper, we introduce the notion of Lie    n-centralizers. We then give a description of Lie    n-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie    n-centralizer to be proper. As applications, we determine generalized Lie    n-derivations on a generalized matrix algebra and Lie    n-centralizers of some operator algebras.}
}