Axial identities
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914165959950336 |
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| author | Rowen, Louis Halle |
| author_facet | Rowen, Louis Halle |
| contents | The notions of idempotental identities and axial identities of axial algebras are introduced, in order to understand better some theorems of J.~Desmet, I.~Gorshkov, S.~Shpectorov, and A.~Staroletov about solid subalgebras; this approach produces generic examples, including an example of an axial algebra of Jordan type 1/2 with a Frobenius form having radical 0, which is neither Jordan nor a homomorphic image of a Matsuo algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16427 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Axial identities Rowen, Louis Halle Rings and Algebras The notions of idempotental identities and axial identities of axial algebras are introduced, in order to understand better some theorems of J.~Desmet, I.~Gorshkov, S.~Shpectorov, and A.~Staroletov about solid subalgebras; this approach produces generic examples, including an example of an axial algebra of Jordan type 1/2 with a Frobenius form having radical 0, which is neither Jordan nor a homomorphic image of a Matsuo algebra. |
| title | Axial identities |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2508.16427 |