Nonlinear Jordan Higher Derivations of Triangular Algebras

被引：4
|
作者：
Fu Wen-lian [1 ]
Xiao Zhan-kui [1 ]
Du Xian-kun [1 ]
机构：
[1] School of Mathematical Sciences, Huaqiao University
来源：
Communications in Mathematical Research | 2015年 / 31卷 / 02期
关键词：
nonlinear Jordan higher derivation; triangular algebra; nest algebra;
D O I：
10.13447/j.1674-5647.2015.02.03
中图分类号：
O153 [抽象代数（近世代数）];
学科分类号：
070104 ;
摘要：
In this paper, we prove that any nonlinear Jordan higher derivation on triangular algebras is an additive higher derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.
引用
收藏
页码：119 / 130
页数：12
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