Galois corings and groupoids acting partially on algebras

DOI10.1142/S021949882140003XOpenAlexW3043303967MaRDI QIDQ4988170

Timmy Fieremans, Stefaan Caenepeel

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949882140003x

zbMATH Keywords

groupoidpartial actionGalois coring

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Coalgebras and comodules; corings (16T15)

Cites Work

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• Hopf categories
• Partial actions and Galois theory
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Morita theory for corings and cleft entwining structures.
• Hopf algebras and Galois theory
• Separable algebras over commutative rings
• The Brauer Group of a Commutative Ring
• Descent and Galois theory for Hopf categories
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• A Galois-Grothendieck-type correspondence for groupoid actions
• Abelian extensions of commutative rings

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