Seminormal Rings (following Thierry Coquand)
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908857155977216 |
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| author | Lombardi, Henri Quitté, Claude |
| author_facet | Lombardi, Henri Quitté, Claude |
| contents | The Traverso-Swan theorem says that a reduced ring A is seminormal if and only if the natural morphism from Pic(A) to Pic(A[X]) is an isomorphism. We give here all the details needed to understand the elementary constructive proof for this result given by Thierry Coquand in the paper: On seminormality. J. Algebra 305, no. 1-3, 577-584, (2006). In this new version we have fixed a little typo in Theorem 3.8: the hypothesis seminormal was missing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09763 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Seminormal Rings (following Thierry Coquand) Lombardi, Henri Quitté, Claude Commutative Algebra 03F65, 13F45, 13B40, 14Qxx The Traverso-Swan theorem says that a reduced ring A is seminormal if and only if the natural morphism from Pic(A) to Pic(A[X]) is an isomorphism. We give here all the details needed to understand the elementary constructive proof for this result given by Thierry Coquand in the paper: On seminormality. J. Algebra 305, no. 1-3, 577-584, (2006). In this new version we have fixed a little typo in Theorem 3.8: the hypothesis seminormal was missing. |
| title | Seminormal Rings (following Thierry Coquand) |
| topic | Commutative Algebra 03F65, 13F45, 13B40, 14Qxx |
| url | https://arxiv.org/abs/2310.09763 |