2015/05/10 by Amir Hosein Mokhtari, Mokhtari, A. H., Hamid Reza Ebrahimi Vishki +1
Computer Science · Mathematics · #15A78 #16W25 #47B47 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1505.02344
openalex publication_date 2015/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.