More on Lie Derivations of Generalized Matrix Algebras
Rings and Algebras
2016-10-31 v1
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.
Keywords
Cite
@article{arxiv.1505.02344,
title = {More on Lie Derivations of Generalized Matrix Algebras},
author = {A. H. Mokhtari and H. R. Ebrahimi Vishki},
journal= {arXiv preprint arXiv:1505.02344},
year = {2016}
}
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11 pages