A study on generalized matrix algebras having generalized Lie derivations

• Date: 2023
• Main Authors: Jabeen, A., Ahmad, M., Abbasi, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: generalized matrix algebras; derivation; generalized Lie derivation; 16W25; 47L35; 15A78
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722
• Journal Title: Algebra and Discrete Mathematics

Let \(\mathfrak{R}\) be a commutative ring with unity. The \(\mathfrak{R}\)-algebra \(\mathfrak{G}=\mathfrak{G}(\mathrm{A}, \mathrm{M}, \mathrm{N}, \mathrm{B})\) is a generalized matrix algebra defined by the Morita context \((\mathrm{A}, \mathrm{B}, \mathrm{M}, \mathrm{N}, \xi_{\mathrm{M}\mathrm{N}...