On three-dimensional associative algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914373870551040 |
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| author | Bekbaev, U. Rakhimov, I. |
| author_facet | Bekbaev, U. Rakhimov, I. |
| contents | This paper addresses the classification problem of associative algebras over arbitrary base fields. We present a list of three-dimensional associative algebras with canonical representatives of the isomorphism classes for fields of characteristic different from two and three. We also compare our lists with the most recent classifications over the complex numbers and with the nilpotent case over arbitrary base fields in dimension three, adding some comments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On three-dimensional associative algebras Bekbaev, U. Rakhimov, I. Rings and Algebras 16H99 G.m This paper addresses the classification problem of associative algebras over arbitrary base fields. We present a list of three-dimensional associative algebras with canonical representatives of the isomorphism classes for fields of characteristic different from two and three. We also compare our lists with the most recent classifications over the complex numbers and with the nilpotent case over arbitrary base fields in dimension three, adding some comments. |
| title | On three-dimensional associative algebras |
| topic | Rings and Algebras 16H99 G.m |
| url | https://arxiv.org/abs/2508.04104 |