Galois correspondence for group-type partial actions of groupoids

DOI10.36045/j.bbms.210807OpenAlexW3188335771MaRDI QIDQ2080713

Thaísa Tamusiunas, Dirceu Bagio, Alveri Sant'Ana

Publication date: 10 October 2022

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.01180

zbMATH Keywords

Galois theorygroupoidgroup-type partial action

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (4)

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 ⋮ Injectivity of the Galois map

Cites Work

• Partial actions and Galois theory
• The Galois correspondence theorem for groupoid actions
• Théorie de la descente et algèbres d'Azumaya
• Restriction and extension of partial actions
• The Brauer Group of a Commutative Ring
• Partial actions of groups and actions of inverse semigroups
• Twisted Partial Actions: A Classification of Regular C*-Algebraic Bundles
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• On partial skew groupoid rings

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