The complete integral closure of a Prüfer domain is a topological property
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910608012607488 |
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| author | Spirito, Dario |
| author_facet | Spirito, Dario |
| contents | We show that the prime spectrum of the complete integral closure $D^\ast$ of a Prüfer domain $D$ is completely determined by the Zariski topology on the spectrum $\mathrm{Spec}(D)$ of $D$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11189 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The complete integral closure of a Prüfer domain is a topological property Spirito, Dario Commutative Algebra We show that the prime spectrum of the complete integral closure $D^\ast$ of a Prüfer domain $D$ is completely determined by the Zariski topology on the spectrum $\mathrm{Spec}(D)$ of $D$. |
| title | The complete integral closure of a Prüfer domain is a topological property |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2409.11189 |