On the generalized Poisson and transposed Poisson algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915129455542272 |
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| author | Dzhumadil'daev, Askar Ismailov, Nurlan Mashurov, Farukh |
| author_facet | Dzhumadil'daev, Askar Ismailov, Nurlan Mashurov, Farukh |
| contents | We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Ito's theorem holds for generalized Poisson algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18410 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the generalized Poisson and transposed Poisson algebras Dzhumadil'daev, Askar Ismailov, Nurlan Mashurov, Farukh Rings and Algebras 17B63, 17A30, 17B01, 17D25 We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Ito's theorem holds for generalized Poisson algebras. |
| title | On the generalized Poisson and transposed Poisson algebras |
| topic | Rings and Algebras 17B63, 17A30, 17B01, 17D25 |
| url | https://arxiv.org/abs/2501.18410 |