Local Lie derivations of generalized matrix algebras-Reference-Cited by-同舟云学术

Local Lie derivations of generalized matrix algebras

Published:2023 Issue:3 Volume:8 Page:6900-6912
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Liu Dan¹,Zhang Jianhua²,Song Mingliang¹

Affiliation:

1. School of Mathematical Sciences, Jiangsu Second Normal University, Nanjing 210013, China

2. College of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710062, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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