Naturally full functors in nature.

DOI10.1007/s10114-005-0561-1zbMath1110.16039arXivmath/0311378OpenAlexW1991935487MaRDI QIDQ2431911

Gigel Militaru, Alessandro Ardizzoni, Menini, Claudia, Stefaan Caenepeel

Publication date: 24 October 2006

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

Full work available at URL: https://arxiv.org/abs/math/0311378

zbMATH Keywords

categories of comodulesmodule categoriesnatural transformationscoringsseparable functorsfaithful functorsfull functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Special categories (18B99) Special properties of functors (faithful, full, etc.) (18A22)

Related Items (3)

Semiseparable functors ⋮ Baer-Kaplansky classes in categories: transfer via functors ⋮ Eilenberg-Moore and Kleisli type categories for bimonads on arbitrary categories

Cites Work

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• Frobenius and separable functors for generalized module categories and nonlinear equations
• Separable functors applied to graded rings
• Separable functors for the category of Doi-Hopf modules, applications
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• On comatrix corings and bimodules.
• Separable functors in corings
• Are biseparable extensions Frobenius?
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Separable functors revisited
• Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties
• The Predual Theorem to the Jacobson-Bourbaki Theorem
• Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties
• Rings and modules of quotients

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