Hopf-Jacobson radical for comodule algebras (Q1302287)

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scientific article; zbMATH DE number 1340807
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Hopf-Jacobson radical for comodule algebras
scientific article; zbMATH DE number 1340807

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    Hopf-Jacobson radical for comodule algebras (English)
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    14 August 2000
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    Let \(H\) be a Hopf algebra, and \(A\) a right \(H\)-comodule algebra (not necessarily with identity). The relation between the Hopf-Jacobson radical \(J^H(A)\) and the Jacobson radical of the smash product \(J(A\#H^{*\text{rat}}\)) is studied. A version of the density theorem for simple left relative Hopf modules is given.
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    Hopf algebras
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    right comodule algebras
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    Hopf-Jacobson radical
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    Jacobson radical
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    smash products
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    density theorem
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    relative Hopf modules
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