反半群作用下的伽罗瓦理论

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-05 DOI:arxiv-2408.02850

Wesley G. Lautenschlaeger, Thaísa Tamusiunas

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引用次数: 0

摘要

我们发展了有限逆半群作用下交换环的伽罗瓦理论。我们提出了伽罗瓦扩展定义的等价性以及伽罗瓦对应定理。我们还展示了该理论在零逆半群情况下的表现。

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Galois Theory under inverse semigroup actions

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.

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arXiv - MATH - Rings and Algebras

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