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| Main Authors: | , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.08393 |
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| _version_ | 1866909677816643584 |
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| author | Aragona, Riccardo Nozzi, Giuseppe |
| author_facet | Aragona, Riccardo Nozzi, Giuseppe |
| contents | Let $\mathbb{F}_{p^k}$ be a finite field of odd characteristic $p$. In this paper we give a classification, up to isomorphism, of the associative commutative $\mathbb{F}_{p^k}$-algebras, starting from the connection with their bi-brace structure. Such classification is the generalization in odd characteristic of the result proved by Civino at al. in characteristic $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08393 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A classification of $\mathbb{F}_{p^k}$-braces using bilinear forms Aragona, Riccardo Nozzi, Giuseppe Group Theory Number Theory Rings and Algebras 20N99, 20B35, 20K30, 16N20, 15A63, 11E08 Let $\mathbb{F}_{p^k}$ be a finite field of odd characteristic $p$. In this paper we give a classification, up to isomorphism, of the associative commutative $\mathbb{F}_{p^k}$-algebras, starting from the connection with their bi-brace structure. Such classification is the generalization in odd characteristic of the result proved by Civino at al. in characteristic $2$. |
| title | A classification of $\mathbb{F}_{p^k}$-braces using bilinear forms |
| topic | Group Theory Number Theory Rings and Algebras 20N99, 20B35, 20K30, 16N20, 15A63, 11E08 |
| url | https://arxiv.org/abs/2403.08393 |