The mapping cone method and the Hattori-Villamayor-Zelinsky sequences

DOI10.2969/JMSJ/03530501zbMath0514.13007OpenAlexW2029722090MaRDI QIDQ1051052

Mitsuhiro Takeuchi

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03530501

zbMATH Keywords

Hattori-Villamayor-Zelinsky sequencesmapping cone methodAmitsur complex

Mathematics Subject Classification ID

Galois cohomology (12G05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Resolutions; derived functors (category-theoretic aspects) (18G10) Picard groups (14C22)

Related Items (3)

Chain complexes of symmetric categorical groups ⋮ A Picard-Brauer exact sequence of categorical groups ⋮ Brauer groups and Galois cohomology for a Krull scheme

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