Galois Theory under inverse semigroup actions
Rings and Algebras
2025-01-03 v2
Abstract
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.
Cite
@article{arxiv.2408.02850,
title = {Galois Theory under inverse semigroup actions},
author = {Wesley G. Lautenschlaeger and Thaísa Tamusiunas},
journal= {arXiv preprint arXiv:2408.02850},
year = {2025}
}
Comments
30 pages