Radicals in primitive axial algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908829844766720 |
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| author | Mamontov, Andrey Shpectorov, Sergey Zhelyabin, Victor |
| author_facet | Mamontov, Andrey Shpectorov, Sergey Zhelyabin, Victor |
| contents | The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius form we compare the largest ideal $R(A)$ not containing any of the generating axes, the radical $A^\perp$ of the form, and the Jacobson radical $J(A)$, which we define simply as the intersection of all maximal ideals of $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11984 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Radicals in primitive axial algebras Mamontov, Andrey Shpectorov, Sergey Zhelyabin, Victor Rings and Algebras The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius form we compare the largest ideal $R(A)$ not containing any of the generating axes, the radical $A^\perp$ of the form, and the Jacobson radical $J(A)$, which we define simply as the intersection of all maximal ideals of $A$. |
| title | Radicals in primitive axial algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2602.11984 |