Equivalences of comodule categories for coalgebras over rings

DOI10.1016/S0022-4049(02)00013-0zbMath1004.16039arXivmath/0109061OpenAlexW1981726991MaRDI QIDQ1612169

Khaled Al-Takhman

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109061

zbMATH Keywords

Morita equivalencescoalgebrascategoriescomodulesfunctorsMorita-Takeuchi contextscoendomorphisms

Mathematics Subject Classification ID

Related Items (6)

Quasi-Frobenius Functors. Applications ⋮ Sheaf coalgebras and duality. ⋮ Categories of modules, comodules and contramodules over representations ⋮ Comatrix Coring Generalized and Equivalences of Categories of Comodules ⋮ Equivalences induced by n-self-cotilting comodules ⋮ Adjoint and Frobenius Pairs of Functors for Corings

Cites Work

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• Principal homogeneous spaces for arbitrary Hopf algebras
• Brauer groups, Hopf algebras and Galois theory
• Families parametrized by coalgebras
• Cointegrations, relative cohomology for comodules, and coseparable corings
• Graded coalgebras and Morita-Takeuchi contexts
• On the structure of Hopf algebras
• Formal schemes over fields^∗
• Rings and modules of quotients

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