Transposed $δ$-Poisson algebra structures on null-filiform associative algebras
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908449349042176 |
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| author | Daukeyeva, Nigora Eraliyeva, Maqpal Toshtemirova, Feruza |
| author_facet | Daukeyeva, Nigora Eraliyeva, Maqpal Toshtemirova, Feruza |
| contents | In this paper, we consider transposed $δ$-Poisson algebras, which are a generalization of transposed $δ$-Poisson algebras. In particular, we describe all transposed $δ$-Poisson algebras of associative null-filiform algebras. It can be seen that these algebras are characterized by the roots of the polynomial $δ^3 - 3δ^2 + 2δ$. A complete classification of transposed $δ$-Poisson algebras corresponding to each value of the parameter $δ$ is provided. Furthermore, we construct all $δ$-Poisson algebra structures on null-filiform associative algebras, and show that they are trivial $δ$-Poisson algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transposed $δ$-Poisson algebra structures on null-filiform associative algebras Daukeyeva, Nigora Eraliyeva, Maqpal Toshtemirova, Feruza Rings and Algebras 17A30, 17A50, 17B63 In this paper, we consider transposed $δ$-Poisson algebras, which are a generalization of transposed $δ$-Poisson algebras. In particular, we describe all transposed $δ$-Poisson algebras of associative null-filiform algebras. It can be seen that these algebras are characterized by the roots of the polynomial $δ^3 - 3δ^2 + 2δ$. A complete classification of transposed $δ$-Poisson algebras corresponding to each value of the parameter $δ$ is provided. Furthermore, we construct all $δ$-Poisson algebra structures on null-filiform associative algebras, and show that they are trivial $δ$-Poisson algebras. |
| title | Transposed $δ$-Poisson algebra structures on null-filiform associative algebras |
| topic | Rings and Algebras 17A30, 17A50, 17B63 |
| url | https://arxiv.org/abs/2507.10554 |