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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2412.16273 |
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| _version_ | 1866913622552215552 |
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| author | Normatov, Zafar |
| author_facet | Normatov, Zafar |
| contents | In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-$\mathcal{O}$-operators, commutative $2$-cocycles on compatible Lie algebras. Moreover, we give the classification of $2$-dimensional compatible anti-pre-Lie algebras from the classification of anti-pre-Lie algebras of the same dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compatible anti-pre-Lie algebras Normatov, Zafar Rings and Algebras 16P10, 17A30 In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-$\mathcal{O}$-operators, commutative $2$-cocycles on compatible Lie algebras. Moreover, we give the classification of $2$-dimensional compatible anti-pre-Lie algebras from the classification of anti-pre-Lie algebras of the same dimension. |
| title | Compatible anti-pre-Lie algebras |
| topic | Rings and Algebras 16P10, 17A30 |
| url | https://arxiv.org/abs/2412.16273 |