Separable functors in group coring.

zbMath1330.16025MaRDI QIDQ2348675

Yanyan Li

Publication date: 15 June 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1427202898

zbMATH Keywords

bimodulescomodulesgroup coringsseparable functorsDoi-Hopf group modulesgroup entwined modulesrelative Hopf group modules

Mathematics Subject Classification ID

Coalgebras and comodules; corings (16T15)

Cites Work

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• Separable functors for the category of Doi-Hopf \(\pi\)-modules.
• Separable functors applied to graded rings
• Unifying Hopf modules
• Separable functors in graded rings
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• Hopf group-coalgebras
• Categorical methods in graded ring theory
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Yetter-Drinfeld modules for crossed structures.
• Double construction for crossed Hopf coalgebras.
• Group corings.
• A Maschke type theorem for Hopf \(\pi\)-comodules.
• Group Twisted Smash Products and Doi–Hopf Modules forT-Coalgebras
• Group Entwining Structures and Group Coalgebra Galois Extensions
• Separable functors revisited
• The Predual Theorem to the Jacobson-Bourbaki Theorem
• A Categorical Approach to Turaev's Hopf Group-Coalgebras

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