Representable Functors for Corings

DOI10.1080/00927872.2011.556694zbMath1269.16026arXiv1005.0156OpenAlexW3099899831MaRDI QIDQ2903342

Gigel Militaru

Publication date: 8 August 2012

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

Full work available at URL: https://arxiv.org/abs/1005.0156

zbMATH Keywords

categories of comodulesequivalences of categoriesFrobenius functorscoringsseparable functorsrepresentable functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Special properties of functors (faithful, full, etc.) (18A22) Coalgebras and comodules; corings (16T15)

Cites Work

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• Frobenius and separable functors for generalized module categories and nonlinear equations
• Morita theory for coring extensions and cleft bicomodules.
• Equivalences between categories of modules and categories of comodules.
• Are biseparable extensions Frobenius?
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• On generators and cogenerators
• Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties
• Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties
• FROBENIUS FUNCTORS OF THE SECOND KIND
• Abstract Algebra

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