Equivalences between categories of modules and categories of comodules.

DOI10.1007/s10114-007-6455-7zbMath1183.16028arXivmath/0604423OpenAlexW2164493523MaRDI QIDQ953229

Joost Vercruysse

Publication date: 17 November 2008

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

Full work available at URL: https://arxiv.org/abs/math/0604423

zbMATH Keywords

Hopf Galois extensionsadjoint functorsequivalences of categoriescomatrix coringsfirm ringsGalois comodulesstatic comodules

Mathematics Subject Classification ID

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

Related Items

Representable Functors for Corings ⋮ Comonads and Galois corings. ⋮ Partial corepresentations of Hopf algebras ⋮ Oplax Hopf Algebras ⋮ Co-Frobenius corings and adjoint functors. ⋮ Monads and comonads on module categories ⋮ Corings over rings with local units ⋮ Morita Theory for Comodules Over Corings ⋮ Bimodule herds.

Cites Work

• Constructing infinite comatrix corings from colimits.
• Comonads and Galois corings.
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• On comatrix corings and bimodules.
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Comatrix corings and Galois comodules over firm rings.
• Local Units Versus Local Projectivity Dualisations: Corings with Local Structure Maps
• On Galois Comodules
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