The perfection can be a non-coherent GCD domain
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914626323611648 |
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| author | Simpson, Austyn |
| author_facet | Simpson, Austyn |
| contents | We show that there exists a complete local Noetherian normal domain of prime characteristic whose perfection is a non-coherent GCD domain, answering a question of Patankar in the negative concerning characterizations of $F$-coherent rings. This recovers and extends a result of Glaz using tight closure methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The perfection can be a non-coherent GCD domain Simpson, Austyn Commutative Algebra We show that there exists a complete local Noetherian normal domain of prime characteristic whose perfection is a non-coherent GCD domain, answering a question of Patankar in the negative concerning characterizations of $F$-coherent rings. This recovers and extends a result of Glaz using tight closure methods. |
| title | The perfection can be a non-coherent GCD domain |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2401.00803 |