The crossed coproduct theorem and Galois cohomology (Q677434)

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scientific article; zbMATH DE number 997607
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English
The crossed coproduct theorem and Galois cohomology
scientific article; zbMATH DE number 997607

    Statements

    The crossed coproduct theorem and Galois cohomology (English)
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    25 August 1997
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    A cohomological interpretation of the Brauer group of a coalgebra is given using the notion of Galois coextensions and Galois cohomology. A crossed coproduct structure theorem is proved, as well as a dual version of the classical splitting theorem.
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    Brauer groups
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    coalgebras
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    Galois coextensions
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    Galois cohomology
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    crossed coproducts
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    splitting theorems
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