Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras
Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz-Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators of Hom-Leibniz-Poisson algebras are given and vari...
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| Date: | 2025 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2025
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2305 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543144087126016 |
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| author | Attan, Sylvain |
| author_facet | Attan, Sylvain |
| author_sort | Attan, Sylvain |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-08-13T10:04:13Z |
| description | Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz-Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators of Hom-Leibniz-Poisson algebras are given and various relevant constructions of these Hom-algebras are deduced. |
| first_indexed | 2026-02-08T07:58:33Z |
| format | Article |
| id | admjournalluguniveduua-article-2305 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:33Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-23052025-08-13T10:04:13Z Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras Attan, Sylvain Hom-Leibniz Poisson algebra, matched pair, relative Rota-Baxter operator, Nijenhuis operator 17A30, 17A32, 17B10, 17B63, 17B99 Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz-Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators of Hom-Leibniz-Poisson algebras are given and various relevant constructions of these Hom-algebras are deduced. Lugansk National Taras Shevchenko University Any 2025-08-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2305 10.12958/adm2305 Algebra and Discrete Mathematics; Vol 39, No 2 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2305/pdf Copyright (c) 2025 Algebra and Discrete Mathematics |
| spellingShingle | Hom-Leibniz Poisson algebra matched pair relative Rota-Baxter operator Nijenhuis operator 17A30 17A32 17B10 17B63 17B99 Attan, Sylvain Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title | Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title_full | Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title_fullStr | Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title_full_unstemmed | Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title_short | Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras |
| title_sort | representations and relative rota-baxter operators of hom-leibniz-poisson algebras |
| topic | Hom-Leibniz Poisson algebra matched pair relative Rota-Baxter operator Nijenhuis operator 17A30 17A32 17B10 17B63 17B99 |
| topic_facet | Hom-Leibniz Poisson algebra matched pair relative Rota-Baxter operator Nijenhuis operator 17A30 17A32 17B10 17B63 17B99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2305 |
| work_keys_str_mv | AT attansylvain representationsandrelativerotabaxteroperatorsofhomleibnizpoissonalgebras |