Local Lie derivations of generalized matrix algebras

[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.

[学科分类] 地球科学(综合)

[关键词] local Lie derivation;Lie derivation;generalized matrix algebra;full matrix algebra