@article{Fei2023, 
author = {Xiuhai Fei and Haifang Zhang},
title = {Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {11},
pages = {6898-6912},
keywords = {nonlinear anti-derivable mapping, nonlinear higher anti-derivable mapping, nonlinear derivable mapping, generalized matrix algebras},
url = {https://www.sciopen.com/article/10.3934/era.2023349},
doi = {10.3934/era.2023349},
abstract = {In this article, we proved that each nonlinear higher anti-derivable mapping on generalized matrix algebras is automatically additive. As for its applications, we find a similar conclusion on triangular algebras, full matrix algebras, unital prime rings with a nontrivial idempotent, unital standard operator algebras and factor von Neumann algebras respectively.}
}