Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929468643213312 |
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| author | Ito, Takaaki |
| author_facet | Ito, Takaaki |
| contents | In a previous work, we stated the conjecture that any semiring homomorphism between the Boolean function semirings on 1-dimensional tropical fans has the property called geometric. In this paper, we show that the conjecture is true. As an application, we establish a way to find all the morphisms between given 1-dimensional tropical fans. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans Ito, Takaaki Algebraic Geometry 14T10, 15A80, 16Y60 In a previous work, we stated the conjecture that any semiring homomorphism between the Boolean function semirings on 1-dimensional tropical fans has the property called geometric. In this paper, we show that the conjecture is true. As an application, we establish a way to find all the morphisms between given 1-dimensional tropical fans. |
| title | Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans |
| topic | Algebraic Geometry 14T10, 15A80, 16Y60 |
| url | https://arxiv.org/abs/2405.17982 |