Galois Theory for Inverse Semigroup Orthogonal Actions

Wesley G. Lautenschlaeger; Thaísa Tamusiunas

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arXiv · 2010.13239

Galois Theory for Inverse Semigroup Orthogonal Actions

Wesley G. Lautenschlaeger·Thaísa Tamusiunas

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Abstract

A Galois correspondence theorem is proved for the case of inverse semigroups acting orthogonally on commutative rings as a consequence of the Galois correspondence theorem for groupoid actions. To this end, we use a classic result of inverse semigroup theory that establishes a one-to-one correspondence between inverse semigroups and inductive groupoids.

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Wesley G. Lautenschlaeger, Thaísa Tamusiunas. 2020-10-25. Galois Theory for Inverse Semigroup Orthogonal Actions. https://arxiv.org/abs/2010.13239

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