Characterizations of generalized Lie n-higher derivations on certain triangular algebras

被引：0
|
作者：
Yuan, He [1 ]
Zhang, Qian [1 ]
Gu, Zhendi [1 ]
机构：
[1] Jilin Normal Univ, Coll Math & Comp, Siping 136000, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 11期
关键词：
triangular algebra; generalized Lie n -higher derivation; generalized higher derivation;
D O I：
10.3934/math.20241446
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper was to provide a characterization of nonlinear generalized Lie nhigher derivations for a certain class of triangular algebras. It was shown that, under some mild conditions, each component Gr of a nonlinear generalized Lie n-higher derivation {G r } rEN of the triangular algebra U could be expressed as the sum of an additive generalized higher derivation and a nonlinear mapping vanishing on all (n - 1)-th commutators on U .
引用
收藏
页码：29916 / 29941
页数：26
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