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On groups \(H^n(S/R)\) related to the Amitsur cohomology and the Brauer group of commutative rings

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Publication:1138589
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zbMath0432.13005MaRDI QIDQ1138589

Akira Hattori

Publication date: 1979

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Picard groupAmitsur cohomologycharacterization of Brauer group as cohomology groupChase-Rosenberg exact sequence


Mathematics Subject Classification ID

Galois cohomology (12G05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Brauer groups of schemes (14F22)


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On the Teichmüller cocycle map, Ext//ad(SpR,\(mu^ A)\)=Br(A/k), Some arithmetical applications of groups \(H^ q(\)R,G), Unnamed Item, Normality of algebras over commutative rings and the Teichmüller class. II: Crossed pairs and the relative case, Chain complexes of symmetric categorical groups, Faithfully flat descent of abelian categories, Group cohomology for Picard groups, Complexes of categories with Abelian group structure



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