Brauer groups and Amitsur cohomology for general commutative ring extensions

DOI10.1016/0022-4049(77)90027-5zbMath0383.13002OpenAlexW2034513475WikidataQ102401195 ScholiaQ102401195MaRDI QIDQ1248649

Orlando Eugenio Villamayor, Daniel Zelinsky

Publication date: 1977

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90027-5

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Étale and other Grothendieck topologies and (co)homologies (14F20) Brauer groups of schemes (14F22) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (21)

On cocycle bitorsors and gerbes over a Grothendieck topos ⋮ Stieffel whitney classes for quadratic modules ⋮ Villamayor-Zelinsky sequence for symmetric finite tensor categories ⋮ Ext//ad(SpR,\(mu^ A)\)=Br(A/k) ⋮ Kohaerenz in Kategorien mit Gruppenstruktur ⋮ Some arithmetical applications of groups \(H^ q(\)R,G) ⋮ Some exact sequences associated with adjunctions in bicategories. Applications ⋮ A variation of sweedler's complex and the group of galois objects of an infinite hopf algebra ⋮ Unnamed Item ⋮ Normality of algebras over commutative rings and the Teichmüller class. I: The absolute case ⋮ 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 ⋮ The Brauer group of Azumaya corings and the second cohomology group. ⋮ Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory ⋮ Coring categories and Villamayor-Zelinsky sequence for symmetric finite tensor categories ⋮ Group cohomology for Picard groups ⋮ Complexes of categories with Abelian group structure ⋮ A Picard-Brauer exact sequence of categorical groups ⋮ Brauer groups and Galois cohomology for a Krull scheme ⋮ A Cohomological Approach to the Brauer-Long Group and the Groups of Galois Extensions and Strongly Graded Rings

Cites Work

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• Théorie de la descente et algèbres d'Azumaya
• Coherence in closed categories
• On normal Azumaya algebras and the Teichmüller cocycle map
• Sur quelques points d'algèbre homologique
• Exact couples in algebraic topology. I.-V
• Intrinsic Characterizations of Some Additive Functors
• The Brauer Group of a Commutative Ring
• On Amitsur's Complex
• On Projective Modules and Automorphisms of Central Separable Algebras
• Simple Algebras and Cohomology Groups of Arbitrary Fields

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