Classification of some operators on compatible ternary Leibniz algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910897533878272 |
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| author | Gamou, Kol Béatrice Abdou, Ahmed Zahari Bakayoko, Ibrahima |
| author_facet | Gamou, Kol Béatrice Abdou, Ahmed Zahari Bakayoko, Ibrahima |
| contents | In this paper, we establish some basic properties of certain operators (element of centroids, averaging operators, derivations, Nijenhuis operators, Rota-Baxter operators) on (compatible) ternary Leibniz algebras and give the classification of ternary Leibniz algebras, classification of compatible ternary Leibniz algebras. Then, we give the descriptions of operators on found elements of these classifications. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_21978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of some operators on compatible ternary Leibniz algebras Gamou, Kol Béatrice Abdou, Ahmed Zahari Bakayoko, Ibrahima Rings and Algebras 17A40, 17A99 In this paper, we establish some basic properties of certain operators (element of centroids, averaging operators, derivations, Nijenhuis operators, Rota-Baxter operators) on (compatible) ternary Leibniz algebras and give the classification of ternary Leibniz algebras, classification of compatible ternary Leibniz algebras. Then, we give the descriptions of operators on found elements of these classifications. |
| title | Classification of some operators on compatible ternary Leibniz algebras |
| topic | Rings and Algebras 17A40, 17A99 |
| url | https://arxiv.org/abs/2503.21978 |