Galois Correspondence for Partial Groupoid Actions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909484607078400 |
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| author | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| author_facet | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| contents | We prove a Galois correspondence theorem for groupoids acting orthogonally and partially on commutative rings. We also consider partial actions that are not orthogonal, presenting two correspondences in this case: one for strongly Galois partial groupoid actions and one for global groupoid actions (without restriction). Some examples are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02496 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galois Correspondence for Partial Groupoid Actions Lautenschlaeger, Wesley G. Tamusiunas, Thaísa Rings and Algebras 13B05, 20L05, 18B40 We prove a Galois correspondence theorem for groupoids acting orthogonally and partially on commutative rings. We also consider partial actions that are not orthogonal, presenting two correspondences in this case: one for strongly Galois partial groupoid actions and one for global groupoid actions (without restriction). Some examples are presented. |
| title | Galois Correspondence for Partial Groupoid Actions |
| topic | Rings and Algebras 13B05, 20L05, 18B40 |
| url | https://arxiv.org/abs/2405.02496 |