Scheme theory for commutative semirings
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911387313242112 |
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| author | Gualdi, Roberto Kuhrs, Arne Garcia, Mayo Mayo Xarles, Xavier |
| author_facet | Gualdi, Roberto Kuhrs, Arne Garcia, Mayo Mayo Xarles, Xavier |
| contents | In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also called subtractive ideals). We then explain how these two approaches are related through the theory of universal valuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14136 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scheme theory for commutative semirings Gualdi, Roberto Kuhrs, Arne Garcia, Mayo Mayo Xarles, Xavier Algebraic Geometry Commutative Algebra 14A15 (Primary) 16Y60, 13A18, 14T10 (Secondary) In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also called subtractive ideals). We then explain how these two approaches are related through the theory of universal valuations. |
| title | Scheme theory for commutative semirings |
| topic | Algebraic Geometry Commutative Algebra 14A15 (Primary) 16Y60, 13A18, 14T10 (Secondary) |
| url | https://arxiv.org/abs/2601.14136 |