Coalgebra-Galois extensions from the extension theory point of view (Q2762035)
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scientific article; zbMATH DE number 1686770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coalgebra-Galois extensions from the extension theory point of view |
scientific article; zbMATH DE number 1686770 |
Statements
6 May 2003
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entwined modules
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separable functors
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coalgebra-Galois extensions
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separable extensions
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split extensions
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strongly separable extensions
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Coalgebra-Galois extensions from the extension theory point of view (English)
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The author studies when certain functors between categories of entwined modules induced by morphisms of entwined structures are separable. The results are applied to prove that a sufficient and necessary condition for a coalgebra-Galois extension to be separable is the separability of a certain induction functor, and this is equivalent to the existence of a normalised integral in the canonical entwining structure. On the other hand it is analyzed when a coalgebra-Galois extension is a split extension, and the problem of when a coalgebra-Galois extension is a strongly separable extension.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00024].
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