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An Amitsur cohomology exact sequence for involutive Brauer groups of the second kind - MaRDI portal

An Amitsur cohomology exact sequence for involutive Brauer groups of the second kind (Q2738463)

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scientific article; zbMATH DE number 1639638
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An Amitsur cohomology exact sequence for involutive Brauer groups of the second kind
scientific article; zbMATH DE number 1639638

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    27 June 2002
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    involutive invariant
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    Amitsur cohomology
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    Krull domain
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    divisorially étale extension
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    Krull domains
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    Chase-Harrison-Rosenberg sequence
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    An Amitsur cohomology exact sequence for involutive Brauer groups of the second kind (English)
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    The aim of the paper is present the construction of the involutive invariants of the second kind associated to a divisorially étale extension of Krull domains and then using these invariants, to write a new version of the Chase-Harrison-Rosenberg sequence [see \textit{S. U. Chase} and \textit{A. Rosenberg}, Mem. Am. Math. Soc. 52, 34-79 (1965; Zbl 0143.06001) and \textit{S. U. Chase, D. K. Harison} and \textit{A. Rosenberg}, ibid. 52, 15-33 (1965; Zbl 0143.05902)].NEWLINENEWLINEFor the entire collection see [Zbl 0963.00025].
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