On Villamayor and Zelinsky’s long exact sequence

DOI10.1090/memo/0249zbMath0476.16005OpenAlexW2335210063MaRDI QIDQ3933121

Mitsuhiro Takeuchi

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1090/memo/0249

zbMATH Keywords

Picard groupAzumaya algebrasBrauer groupprogeneratorslong exact sequenceAmitsur cohomology groups+-functors+-groupoidsspecial cohomology groupsVillamayor-Zelinsky sequence

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (7)

Derived 2-functors in (2-SGp) ⋮ On the Teichmüller cocycle map ⋮ Some exact sequences associated with adjunctions in bicategories. Applications ⋮ Chain complexes of symmetric categorical groups ⋮ Modules croisés généralisés de longueur 2 ⋮ Complexes of categories with Abelian group structure ⋮ A Picard-Brauer exact sequence of categorical groups

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