Cointegrations, relative cohomology for comodules, and coseparable corings

DOI10.1016/0021-8693(89)90329-3zbMath0684.16018OpenAlexW2044190356MaRDI QIDQ1825261

Fernando Guzmán

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90329-3

zbMATH Keywords

categories of comodulescoderivationscomultiplicationsrelative cohomologycoringsbicomodulesseparable algebrascouniversal cointegrationsrelative derived functorsrelative functors

Mathematics Subject Classification ID

Related Items (12)

Generalized coderivations of bicomodules. ⋮ The bicategories of corings. ⋮ Cyclic Cohomology of Corings ⋮ Adjoint functors and equivalences of subcategories ⋮ Comatrix Coring Generalized and Equivalences of Categories of Comodules ⋮ BOCSES over Small Linear Categories and Corings ⋮ Comodules and Corings ⋮ Coseparable Corings ⋮ Cohomology for Bicomodules. Separable and Maschke functors ⋮ Rational Modules for Corings ⋮ Adjoint and Frobenius Pairs of Functors for Corings ⋮ Equivalences of comodule categories for coalgebras over rings

Cites Work

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• Integrations and cohomology theory
• Homological coalgebra
• Coseparable Hopf algebras
• Adjoint functors and triples
• On the structure of Hopf algebras
• The Predual Theorem to the Jacobson-Bourbaki Theorem
• Cohomology as the Derived Functor of Derivations
• Cohomology of coalgebras

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