Note on the coincidence of two henselisations
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912134689980416 |
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| author | García, María Emilia Alonso Lombardi, Henri Neuwirth, Stefan |
| author_facet | García, María Emilia Alonso Lombardi, Henri Neuwirth, Stefan |
| contents | We compare two henselisations of a residually discrete valuation domain. Our constructive proof that a certain natural morphism is an isomorphism is also a proof in classical mathematics. Although this isomorphism is implicitly accepted as obvious in the literature, it seems that no proof was previously available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on the coincidence of two henselisations García, María Emilia Alonso Lombardi, Henri Neuwirth, Stefan Commutative Algebra We compare two henselisations of a residually discrete valuation domain. Our constructive proof that a certain natural morphism is an isomorphism is also a proof in classical mathematics. Although this isomorphism is implicitly accepted as obvious in the literature, it seems that no proof was previously available. |
| title | Note on the coincidence of two henselisations |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2411.18186 |