Galois Theory for Inverse Semigroup Actions
Wesley G. Lautenschlaeger, Thaísa Tamusiunas · arXiv (Cornell University) · 2020
It is proven a Galois correspondence theorem for the case of inverse semigroups acting 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.