Abstract

When F C→ C is a monoidal functor between suitable symmetric closed categories and H is a finite commutative and cocbmmuta-ive Hopf algebra in C, we obtain, generalizing results of S. Qaeneppel and M. Beattie, two exact sequences involving the Picard, Galois and Brauer groups defined in [21], [11]. Finally we describe the relation between this exact sequences.

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