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Partial Galois cohomology and related homomorphisms (expanded version)

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arxiv 1804.03762 v2 pith:3QMCGEEB submitted 2018-04-11 math.RA

classification math.RA
keywords galoispartialsequenceanaloguechase-harrison-rosenbergcohomologycommutativeexpanded
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For a partial Galois extension of commutative rings we give a seven terms sequence, which is an analogue of the Chase-Harrison-Rosenberg sequence.

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  1. Partial generalized crossed products and a seven-term exact sequence

    math.RA 2019-08 accept novelty 6.0 of 10

    For a partial Galois extension of a commutative ring by a finite group, the paper proves that the seven-term sequence 0 to H^1, Pic, PicS, H^2, Brauer group, H^1, H^3 is exact.

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