[HTML][HTML] The Galois correspondence theorem for groupoid actions

A Paques, T Tamusiunas - Journal of Algebra, 2018 - Elsevier
Journal of Algebra, 2018Elsevier
… That relation between subalgebras and groupoids anticipates the relations presented in
this paper, although the authors did not formalize the definition of groupoid action. The goal
of this paper is to develop a version of the Galois correspondence theorem for the case of
groupoids acting on commutative rings. The paper starts by introducing some preliminaries
results about groupoids, groupoid actions, Galois extensions and separability in the section
2. In section 3 it will be presented the definition of normal subgroupoid and quotient …
Abstract
A theory about groupoids will be developed, emphasizing the notion of normal subgroupoid and quotient groupoid. It will be also constructed a version of the Galois correspondence theorem for groupoids acting on commutative rings.
Elsevier
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