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Coactions, smash products, and Hopf modules

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Publication:1330020
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DOI10.1006/jabr.1994.1176zbMath0814.16035OpenAlexW2016145206MaRDI QIDQ1330020

Chuanren Cai, Hui-Xiang Chen

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1176

zbMATH Keywords

rational modulescentral simple algebrasmash productrelative Hopf modulesregular modulefinite dimensional Hopf algebraalgebra of linear transformations\(H\)-comodulesdense ring of linear transformationsinfinite dimensional Hopf algebrasleft integralmaximal rational submodule


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Smash products of general Hopf actions (16S40)


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Generalized smash products., Hopf algebra coactions, Galois extensions for co-Frobenius Hopf algebras, Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups, Twisted hopf comodule algebras, HOPF PAIRINGS AND (CO)INDUCTION FUNCTORS OVER COMMUTATIVE RINGS, A-H-BIMODULES AND EQUIVALENCES, Wide Morita contexts, relative injectivity and equivalence results., Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\), Rational Modules for Corings, Some topics on homA(M, –) in the category of relative hopf modules



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