Injectivity of the Galois map

DOI10.1007/s00574-022-00327-3OpenAlexW4313481886WikidataQ122721606 ScholiaQ122721606MaRDI QIDQ2111898

Thaísa Tamusiunas, Juliana Pedrotti

Publication date: 17 January 2023

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.17754

zbMATH Keywords

Galois extensiongroupoid actionGalois map

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) ``Super (or ``skew) structure (16W55) Galois theory and commutative ring extensions (13B05)

Related Items (2)

A Galois correspondence for \(K_\beta\)-rings ⋮ Partial groupoid representations and a relation with the Birget-Rhodes expansion

Cites Work

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• The Galois correspondence theorem for groupoid actions
• Galois correspondence for group-type partial actions of groupoids
• On commutor rings and Galois theory of separable algebras
• On semisimple extensions and separable extensions over non commutative rings
• Separable algebras over commutative rings
• THE GALOIS MAP AND ITS INDUCED MAPS
• 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
• On Galois Algebras Satisfying the Fundamental Theorem
• On the Galois map for groupoid actions
• The structure of Galois algebras

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