LIE TRIPLE CENTRALIZERS ON GENERALIZED MATRIX ALGEBRAS

被引：16

作者：

Fadaee, Behrooz ^{[1
]}

Ghahramani, Hoger ^{[1
]}

Jing, Wu ^{[2
]}

机构：

[1] Univ Kurdistan, Dept Math, POB 416, Sanandaj, Iran

[2] Fayetteville State Univ, Dept Math & Comp Sci, Fayetteville, NC 28301 USA

来源：

QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 02期

关键词：

Lie centralizer; Lie triple centralizer; generalized Lie triple derivation; generalized matrix algebra; UNITAL ALGEBRAS; DERIVATIONS; MAPPINGS;

D O I：

10.2989/16073606.2021.2013972

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce the notion of Lie triple centralizer as follows. Let A be an algebra, and phi : A -> A be a linear mapping. We say that phi is a Lie triple centralizer whenever phi([[a, b], c]) = [[phi(a), b], c] for all a,b,c is an element of A. Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra U and under some mild conditions on U we present the necessary and sufficient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.

引用

页码：281 / 300

页数：20

共 20 条

[1]

Behfar R., GHAHRAMANI LIE MAPS

[2] GENERALIZED LIE DERIVATIONS OF UNITAL ALGEBRAS WITH IDEMPOTENTS [J].