Homological smoothness of Hopf-Galois extensions
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910728806465536 |
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| author | Clainche, Julian Le |
| author_facet | Clainche, Julian Le |
| contents | We show that if $H$ is a Hopf algebra with bijective antipode and $B \subset A$ is a faithfully flat $H$-Galois extension, then $A$ is homologically smooth if $H$ and $B$ are. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological smoothness of Hopf-Galois extensions Clainche, Julian Le K-Theory and Homology We show that if $H$ is a Hopf algebra with bijective antipode and $B \subset A$ is a faithfully flat $H$-Galois extension, then $A$ is homologically smooth if $H$ and $B$ are. |
| title | Homological smoothness of Hopf-Galois extensions |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2412.04365 |