Galois Theory under inverse semigroup actions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915087994847232 |
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| author | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| author_facet | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| contents | We develop a Galois theory of commutative rings under actions of finite inverse semigroups. We present equivalences for the definition of Galois extension as well as a Galois correspondence theorem. We also show how the theory behaves in the case of inverse semigroups with zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galois Theory under inverse semigroup actions Lautenschlaeger, Wesley G. Tamusiunas, Thaísa Rings and Algebras 16W22, 20M18, 13B05, 06A15 We develop a Galois theory of commutative rings under actions of finite inverse semigroups. We present equivalences for the definition of Galois extension as well as a Galois correspondence theorem. We also show how the theory behaves in the case of inverse semigroups with zero. |
| title | Galois Theory under inverse semigroup actions |
| topic | Rings and Algebras 16W22, 20M18, 13B05, 06A15 |
| url | https://arxiv.org/abs/2408.02850 |