On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912303960555520 |
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| author | Glizburg, Vita Pchelintsev, Sergey |
| author_facet | Glizburg, Vita Pchelintsev, Sergey |
| contents | In the article we study the simple unital communitative three-dimensional algebras over an algebraically closed field of characteristic not equal to 2. It is proved that every simple unital communitative three-dimensional algebra of nil-rank 2 is isotopic to Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00868 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space Glizburg, Vita Pchelintsev, Sergey Rings and Algebras In the article we study the simple unital communitative three-dimensional algebras over an algebraically closed field of characteristic not equal to 2. It is proved that every simple unital communitative three-dimensional algebra of nil-rank 2 is isotopic to Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space. |
| title | On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.00868 |