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  • Nonlinear 2-local Lie n-der...
    Zhao, Xingpeng

    Communications in algebra, 01/2024, Volume: 52, Issue: 4
    Journal Article

    Let M be a finite von Neumann algebra with no central summands of type I 1 . 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 .