A study on generalized matrix algebras having generalized Lie derivations
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}...
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2023 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722 |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1722 |
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oai:ojs.admjournal.luguniv.edu.ua:article-17222023-10-12T16:54:35Z A study on generalized matrix algebras having generalized Lie derivations Jabeen, A. Ahmad, M. Abbasi, A. generalized matrix algebras, derivation, generalized Lie derivation 16W25, 47L35, 15A78 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 \((\mathrm{A}, \mathrm{B}, \mathrm{M}, \mathrm{N}, \xi_{\mathrm{M}\mathrm{N}}, \Omega_{\mathrm{N}\mathrm{M}}).\) In this article, we study generalized Lie derivation and show that every generalized Lie derivation on a generalized matrix algebra has the standard form under certain assumptions. Lugansk National Taras Shevchenko University 2023-10-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722 10.12958/adm1722 Algebra and Discrete Mathematics; Vol 35, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1722/782 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1722/783 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1722/1083 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
generalized matrix algebras derivation generalized Lie derivation 16W25 47L35 15A78 |
| spellingShingle |
generalized matrix algebras derivation generalized Lie derivation 16W25 47L35 15A78 Jabeen, A. Ahmad, M. Abbasi, A. A study on generalized matrix algebras having generalized Lie derivations |
| topic_facet |
generalized matrix algebras derivation generalized Lie derivation 16W25 47L35 15A78 |
| format |
Article |
| author |
Jabeen, A. Ahmad, M. Abbasi, A. |
| author_facet |
Jabeen, A. Ahmad, M. Abbasi, A. |
| author_sort |
Jabeen, A. |
| title |
A study on generalized matrix algebras having generalized Lie derivations |
| title_short |
A study on generalized matrix algebras having generalized Lie derivations |
| title_full |
A study on generalized matrix algebras having generalized Lie derivations |
| title_fullStr |
A study on generalized matrix algebras having generalized Lie derivations |
| title_full_unstemmed |
A study on generalized matrix algebras having generalized Lie derivations |
| title_sort |
study on generalized matrix algebras having generalized lie derivations |
| description |
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 \((\mathrm{A}, \mathrm{B}, \mathrm{M}, \mathrm{N}, \xi_{\mathrm{M}\mathrm{N}}, \Omega_{\mathrm{N}\mathrm{M}}).\) In this article, we study generalized Lie derivation and show that every generalized Lie derivation on a generalized matrix algebra has the standard form under certain assumptions. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722 |
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2024-04-12T06:13:52Z |
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2024-04-12T06:13:52Z |
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