A CHARACTERISATION FOR A GROUPOID GALOIS EXTENSION USING PARTIAL ISOMORPHISMS

DOI10.1017/S0004972717000077zbMath1387.13023OpenAlexW2593400662MaRDI QIDQ4975593

Wagner Cortes, Thaísa Tamusiunas

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972717000077

zbMATH Keywords

groupoidpartial isomorphismgroupoid Galois extension

Mathematics Subject Classification ID

Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Galois theory and commutative ring extensions (13B05)

Related Items (7)

Maximal ordered groupoids and a Galois correspondence for inverse semigroup orthogonal actions ⋮ A Galois correspondence for \(K_\beta\)-rings ⋮ Partial groupoid representations and a relation with the Birget-Rhodes expansion ⋮ Partial groupoid actions on R-categories: Globalization and the smash product ⋮ Isomorphism theorems for groupoids and some applications ⋮ On the Galois map for groupoid actions ⋮ Injectivity of the Galois map

Cites Work

• On the homotopy theory of topogenic groups and groupoids
• Fibrations of groupoids
• The Galois algebra with Galois group which is the automorphism group.
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• Abelian extensions of commutative rings
• Groupoids and Van Kampen's Theorem
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