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- W4387482874 abstract "AbstractLet M be a finite von Neumann algebra with no central summands of type I1. We show that each nonlinear 2-local Lie n-derivation δ:M→M with n≥3 is of the form d + h, where d:M→M is a linear derivation and h is a homogeneous central-valued mapping which annihilates each (n−1)-th commutator of M.Keywords: Lie n-derivationvon Neumann algebra2-local Lie n-derivation2020 MATHEMATICS SUBJECT CLASSIFICATION: 47B4947C15 AcknowledgmentsThe author would like to thank the referees for their valuable comments and suggestions which helped in improving the quality of this article.Additional informationFundingThe article is supported by the Scientific and Technological Innovation Programs of Higher Education Programs in Shanxi (Grant No. 2021L015) and Fundamental Research Program of Shanxi Province (No. 202103021223038)." @default.
- W4387482874 created "2023-10-11" @default.
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- W4387482874 date "2023-10-10" @default.
- W4387482874 modified "2023-10-16" @default.
- W4387482874 title "Nonlinear 2-local Lie <i>n</i> -derivations of von Neumann algebras" @default.
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- W4387482874 doi "https://doi.org/10.1080/00927872.2023.2263082" @default.
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