Zinbiel superalgebras and superbialgebras
UDC 512.5 In the present paper, we propose and study a new structure of the Zinbiel superalgebras. Moreover, we define dual bimodules and matched pairs. In addition, we establish a relationship between the dual bimodules of Zinbiel superalgebras and the matched pairs of Lie speralgebras. Furthermore...
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| Datum: | 2026 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7938 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512815793569792 |
|---|---|
| author | Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed |
| author_facet | Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed |
| author_sort | Agrebaoui, Boujemaa |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T11:04:14Z |
| description | UDC 512.5
In the present paper, we propose and study a new structure of the Zinbiel superalgebras. Moreover, we define dual bimodules and matched pairs. In addition, we establish a relationship between the dual bimodules of Zinbiel superalgebras and the matched pairs of Lie speralgebras. Furthermore, we examine the Manin triples of Zinbiel superalgebras. Finally, we present the theorem that establishes the links between the matched pairs of Zinbiel superalgebras, the Zinbiel superbialgebras, and the matched pairs of subadjacent Lie superalgebras. |
| doi_str_mv | 10.3842/umzh.v78i1-2.7938 |
| first_indexed | 2026-03-24T03:34:47Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7938 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:34:47Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-79382026-03-21T11:04:14Z Zinbiel superalgebras and superbialgebras Zinbiel superalgebras and superbialgebras Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Zinbiel superalgebras; Lie supercoalgebras; bialgebras; Bimodule;Matched pair. UDC 512.5 In the present paper, we propose and study a new structure of the Zinbiel superalgebras. Moreover, we define dual bimodules and matched pairs. In addition, we establish a relationship between the dual bimodules of Zinbiel superalgebras and the matched pairs of Lie speralgebras. Furthermore, we examine the Manin triples of Zinbiel superalgebras. Finally, we present the theorem that establishes the links between the matched pairs of Zinbiel superalgebras, the Zinbiel superbialgebras, and the matched pairs of subadjacent Lie superalgebras. УДК 512.5 Зінбілеві супералгебри та супербіалгебри Основною метою нашої роботи є дослідження та створення нової конструкції зінбілевих супералгебр, а також визначення подвійних бімодулів та узгоджених пар. Також встановлено зв'язок між дуальними бімодулями зінбілевих супералгебр та узгодженими парами лієвих супералгебр. Досліджено трійки Маніна для зінбілевих супералгебр. Отримано теорему, що пов'язує узгоджені пари зінбілевих супералгебр, зінбілеві супербіалгебри та узгоджені пари підлеглих лієвих супералгебр. Institute of Mathematics, NAS of Ukraine 2026-03-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7938 10.3842/umzh.v78i1-2.7938 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 1-2 (2026); 73–74 Український математичний журнал; Том 78 № 1-2 (2026); 73–74 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7938/10617 Copyright (c) 2026 Boujemaa Agrebaoui, Imed Basdouri, Jebli Mohamed Eljoudi |
| spellingShingle | Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Agrebaoui, Boujemaa Basdouri, Imed Eljoudi, Jebli Mohamed Zinbiel superalgebras and superbialgebras |
| title | Zinbiel superalgebras and superbialgebras |
| title_alt | Zinbiel superalgebras and superbialgebras |
| title_full | Zinbiel superalgebras and superbialgebras |
| title_fullStr | Zinbiel superalgebras and superbialgebras |
| title_full_unstemmed | Zinbiel superalgebras and superbialgebras |
| title_short | Zinbiel superalgebras and superbialgebras |
| title_sort | zinbiel superalgebras and superbialgebras |
| topic_facet | Zinbiel superalgebras Lie supercoalgebras bialgebras Bimodule;Matched pair. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7938 |
| work_keys_str_mv | AT agrebaouiboujemaa zinbielsuperalgebrasandsuperbialgebras AT basdouriimed zinbielsuperalgebrasandsuperbialgebras AT eljoudijeblimohamed zinbielsuperalgebrasandsuperbialgebras AT agrebaouiboujemaa zinbielsuperalgebrasandsuperbialgebras AT basdouriimed zinbielsuperalgebrasandsuperbialgebras AT eljoudijeblimohamed zinbielsuperalgebrasandsuperbialgebras |