The crossed coproduct theorem and Galois cohomology |
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Authors: | F Van Oystaeyen Y H Zhang |
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Institution: | 1. Department of Mathematics, University of Antwerp (UIA), B-2610, Wilrijk, Belgium
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Abstract: | We give a cohomological interpretation of the Brauer group of a coalgebra in terms of Galois coextensions and Galois cohomology. There is a crossed coproduct structure theorem, and the co-version of the classical splitting theorem holds for the Brauer group of an irreducible coreflexive coalgebra but it does not hold in general. |
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