On polynomial equations over split octonions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910900712112128 |
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| author | Lopatin, Artem Rybalov, Alexander N. |
| author_facet | Lopatin, Artem Rybalov, Alexander N. |
| contents | Working over the split octonions over an algebraically closed field, we solve all polynomial equations in which all the coefficients but the constant term are scalar. As a consequence, we calculate the n-th roots of an octonion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00032 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On polynomial equations over split octonions Lopatin, Artem Rybalov, Alexander N. Rings and Algebras 17A75, 17D05, 20G41 Working over the split octonions over an algebraically closed field, we solve all polynomial equations in which all the coefficients but the constant term are scalar. As a consequence, we calculate the n-th roots of an octonion. |
| title | On polynomial equations over split octonions |
| topic | Rings and Algebras 17A75, 17D05, 20G41 |
| url | https://arxiv.org/abs/2412.00032 |