TY  - JOUR
AU  - Liang, Xinfeng
AU  - Zhang, Mengya
PY  - 2024
TI  - Triangular algebras with nonlinear higher Lie n-derivation by local actions
JO  - AIMS Mathematics
SP  - 2549
EP  - 2583
VL  - 9
IS  - 2
AB  - This paper was devoted to the study of the so-called nonlinear higher Lie n-derivation of triangular algebras        T  , where    n is a nonnegative integer greater than two. Under some mild conditions, we proved that every nonlinear higher Lie n-derivation by local actions on the triangular algebras is of a standard form. As an application, we gave a characterization of higher Lie    n-derivation by local actions on upper triangular matrix algebras, block upper triangular matrix algebras and nest algebras, respectively.
UR  - https://doi.org/10.3934/math.2024126
DO  - 10.3934/math.2024126