More on Lie Derivations of Generalized Matrix Algebras

Abstract

Motivated by the Cheung's elaborate work [Linear Multilinear Algebra, 51 (2003), 299-310], we investigate the construction of a Lie derivation on a generalized matrix algebra and apply it to give a characterization for such a Lie derivation to be proper. Our approach not only provides a direct proof for some known results in the theory, but also it presents several sufficient conditions assuring the properness of Lie derivations on certain generalized matrix algebras.

11 pages

Cited by in corpus (3)

• Lie derivations on trivial extension algebras
• Characterizations of Lie n-derivations of unital algebras with nontrivial idempotents
• Lie Higher Derivations on Generalized Matrix Algebras