Local Lie derivations of generalized matrix algebras

被引：1
|
作者：
Liu, Dan [1 ]
Zhang, Jianhua [2 ]
Song, Mingliang [1 ]
机构：
[1] Jiangsu Second Normal Univ, Sch Math Sci, Nanjing 210013, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Stat, Xian 710062, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
local Lie derivation; Lie derivation; generalized matrix algebra; full matrix algebra; AUTOMORPHISMS;
D O I：
10.3934/math.2023349
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate local Lie derivations of a certain class of generalized matrix algebras and show that, under certain conditions, every local Lie derivation of a generalized matrix algebra is a sum of a derivation and a linear central-valued map vanishing on each commutator. The main result is then applied to full matrix algebras and unital simple algebras with nontrivial idempotents.
引用
收藏
页码：6900 / 6912
页数：13
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