On the free metabelian Novikov and metabelian Lie-admissible algebras
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911978493050880 |
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| author | Dauletiyarova, A. Abdukhalikov, K. Sartayev, B. K. |
| author_facet | Dauletiyarova, A. Abdukhalikov, K. Sartayev, B. K. |
| contents | In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for both free metabelian Novikov and free metabelian Lie-admissible algebras. Additionally, we describe a space of symmetric polynomials for both the free metabelian Novikov algebra and the free metabelian Lie-admissible algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the free metabelian Novikov and metabelian Lie-admissible algebras Dauletiyarova, A. Abdukhalikov, K. Sartayev, B. K. Rings and Algebras In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for both free metabelian Novikov and free metabelian Lie-admissible algebras. Additionally, we describe a space of symmetric polynomials for both the free metabelian Novikov algebra and the free metabelian Lie-admissible algebra. |
| title | On the free metabelian Novikov and metabelian Lie-admissible algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.06993 |