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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.18421 |
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| _version_ | 1866917029450088448 |
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| author | Chapman, Adam |
| author_facet | Chapman, Adam |
| contents | We revisit the famous theorem of Albert's on the cyclicity of tensor products of cyclic $p$-algebras. In the case of tensor products of cyclic $p$-algebras of prime degree, we provide an explicit computation of the resulting cyclic algebra in symbol algebra terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cyclicity of Tensor Products of Cyclic $p$-Algebras Chapman, Adam Rings and Algebras 16K20 13F35 We revisit the famous theorem of Albert's on the cyclicity of tensor products of cyclic $p$-algebras. In the case of tensor products of cyclic $p$-algebras of prime degree, we provide an explicit computation of the resulting cyclic algebra in symbol algebra terms. |
| title | The Cyclicity of Tensor Products of Cyclic $p$-Algebras |
| topic | Rings and Algebras 16K20 13F35 |
| url | https://arxiv.org/abs/2510.18421 |