Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras

Xiuhai Fei; Haifang Zhang; Xiuhai Fei; Haifang Zhang

doi:10.3934/era.2023349

Electronic Research Archive

2023, Volume 31, Issue 11: 6898-6912. doi: 10.3934/era.2023349

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Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras

Xiuhai Fei ,
Haifang Zhang ^,

School of Mathematics and Physics, West Yunnan University, Lincang, 677099, Yunnan, China

Received: 26 December 2022 Revised: 07 September 2023 Accepted: 11 October 2023 Published: 26 October 2023

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.
- nonlinear anti-derivable mapping,
- nonlinear higher anti-derivable mapping,
- nonlinear derivable mapping,
- generalized matrix algebras
Citation: Xiuhai Fei, Haifang Zhang. Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras[J]. Electronic Research Archive, 2023, 31(11): 6898-6912. doi: 10.3934/era.2023349

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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.

References

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