Maximal ordered groupoids and a Galois correspondence for inverse semigroup orthogonal actions

DOI10.1007/s10485-023-09742-zzbMath1526.06004OpenAlexW4386031669MaRDI QIDQ6050138

Wesley G. Lautenschlaeger, Thaísa Tamusiunas

Publication date: 18 September 2023

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-023-09742-z

zbMATH Keywords

Galois theoryinverse semigroupordered groupoidinductive groupoid

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Inverse semigroups (20M18) Ordered structures (06F99) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• Unnamed Item
• Fibrations of ordered groupoids and the factorization of ordered functors
• Ordered groupoid quotients and congruences on inverse semigroups
• Partial actions and Galois theory
• Pure Galois theory in categories
• Actions of inverse semigroups arising from partial actions of groups
• The Galois correspondence theorem for groupoid actions
• Extended Galois theory and dissonant morphisms
• Galois correspondence for group-type partial actions of groupoids
• Galois groupoids
• The Separable Galois Theory of Commutative Rings
• Partial actions of groups and actions of inverse semigroups
• PARTIAL ACTIONS OF GROUPS
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• A CHARACTERISATION FOR A GROUPOID GALOIS EXTENSION USING PARTIAL ISOMORPHISMS
• A Galois-Grothendieck-type correspondence for groupoid actions
• Abelian extensions of commutative rings
• Galois Theory for Rings with Finitely Many Idempotents
• The Separable Closure of Some Commutative Rings
• On the Galois map for groupoid actions

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