Morita Theory for Comodules Over Corings

DOI10.1080/00927870902747993zbMath1186.16033arXiv0710.1017OpenAlexW1995502421MaRDI QIDQ3644350

Joost Vercruysse, Böhm, Gabriella

Publication date: 4 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1017

zbMATH Keywords

Morita contextscategories of modulescomodulesequivalencescoringsfirm rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Coalgebras and comodules; corings (16T15)

Related Items

Weak multiplier bialgebras, Yetter-Drinfeld modules over weak multiplier bialgebras, Semiseparable functors, Oplax Hopf Algebras, Weak multiplier bimonoids, SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS, Dilations of partial representations of Hopf algebras, Comodules over weak multiplier bialgebras, Morita theory for finitary 2-categories

Cites Work

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• Principal homogeneous spaces for arbitrary Hopf algebras
• Morita theory for coring extensions and cleft bicomodules.
• Hopf Galois extensions, smash products, and Morita equivalence
• Co-Frobenius corings and adjoint functors.
• Equivalences between categories of modules and categories of comodules.
• Morita contexts and equivalences
• Morita equivalence based on contexts for various categories of modules over associative rings
• Galois extensions for co-Frobenius Hopf algebras
• The quotient category of a Morita context
• On comatrix corings and bimodules.
• Wide Morita contexts, relative injectivity and equivalence results.
• Facets of descent. III: Monadic descent for rings and algebras
• Comatrix corings and Galois comodules over firm rings.
• Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties
• Wide morita contexts
• On Galois Comodules