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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| Дата: | 2023 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543298450096128 |
|---|---|
| author | Jabeen, A. Ahmad, M. Abbasi, A. |
| author_facet | Jabeen, A. Ahmad, M. Abbasi, A. |
| author_sort | Jabeen, A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2023-10-12T16:54:35Z |
| 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. |
| first_indexed | 2025-12-02T15:25:52Z |
| format | Article |
| id | admjournalluguniveduua-article-1722 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:52Z |
| publishDate | 2023 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | A study on generalized matrix algebras having generalized Lie derivations |
| title_sort | study on generalized matrix algebras having generalized lie derivations |
| topic | generalized matrix algebras derivation generalized Lie derivation 16W25 47L35 15A78 |
| topic_facet | generalized matrix algebras derivation generalized Lie derivation 16W25 47L35 15A78 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1722 |
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