Deformations of compatible Hom-mock-Lie algebras
In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and...
Збережено в:
| Дата: | 2025 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2025
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543058306269184 |
|---|---|
| author | Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami |
| author_facet | Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami |
| author_sort | Benali, Karima |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-04-13T15:32:01Z |
| description | In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and exhibit some related results. Next, we introduce the notion of representation of a compatible Hom-mock-Lie algebra. Finally, we study linear deformations of a compatible Hom-mock-Lie algebra. |
| first_indexed | 2025-12-02T15:30:49Z |
| format | Article |
| id | admjournalluguniveduua-article-2074 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:30:49Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-20742025-04-13T15:32:01Z Deformations of compatible Hom-mock-Lie algebras Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Hom-mock-Lie algebra, compatible Hom-anti-associative algebra, compatible Hom-mock-Lie algebra, representation, deformation, cohomology 17B10, 17A30, 17B56,13D03 , 13D10 In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and exhibit some related results. Next, we introduce the notion of representation of a compatible Hom-mock-Lie algebra. Finally, we study linear deformations of a compatible Hom-mock-Lie algebra. Lugansk National Taras Shevchenko University 2025-04-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074 10.12958/adm2074 Algebra and Discrete Mathematics; Vol 39, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2074/1062 Copyright (c) 2025 Algebra and Discrete Mathematics |
| spellingShingle | Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10 Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Deformations of compatible Hom-mock-Lie algebras |
| title | Deformations of compatible Hom-mock-Lie algebras |
| title_full | Deformations of compatible Hom-mock-Lie algebras |
| title_fullStr | Deformations of compatible Hom-mock-Lie algebras |
| title_full_unstemmed | Deformations of compatible Hom-mock-Lie algebras |
| title_short | Deformations of compatible Hom-mock-Lie algebras |
| title_sort | deformations of compatible hom-mock-lie algebras |
| topic | Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10 |
| topic_facet | Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074 |
| work_keys_str_mv | AT benalikarima deformationsofcompatiblehommockliealgebras AT chtiouitaoufik deformationsofcompatiblehommockliealgebras AT hajjajiatef deformationsofcompatiblehommockliealgebras AT mabrouksami deformationsofcompatiblehommockliealgebras |