Galois Theory for Inverse Semigroup Orthogonal Actions
Rings and Algebras
2021-05-14 v3
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.
Keywords
Cite
@article{arxiv.2010.13239,
title = {Galois Theory for Inverse Semigroup Orthogonal Actions},
author = {Wesley G. Lautenschlaeger and Thaísa Tamusiunas},
journal= {arXiv preprint arXiv:2010.13239},
year = {2021}
}