On the set of grouplikes of a coring.

DOI10.1007/s10114-012-9074-xzbMath1263.16035arXiv0901.4291OpenAlexW2094516564MaRDI QIDQ1943028

José Gómez-Torrecillas, Laiachi El Kaoutit

Publication date: 14 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4291

zbMATH Keywords

Galois extensionsnon-Abelian cohomologyGalois coringssubalgebras of coinvariantscomodules over coringsdescent cohomologyfinite group actions by automorphismsGalois grouplike elementspointed sets

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Coalgebras and comodules; corings (16T15)

Related Items (1)

Non-abelian Galois cohomology via descent cohomology

Cites Work

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• Cogalois theory for field extensions
• Non-Abelian Hopf cohomology. II: The general case.
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• Separable functors in corings
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Non-Abelian Hopf cohomology.
• On commutor rings and Galois theory of separable algebras
• Descent Cohomology and Corings
• The Predual Theorem to the Jacobson-Bourbaki Theorem

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