Exact sequences for relative Brauer groups and Picard groups

DOI10.1016/0022-4049(83)90076-2zbMath0512.13002OpenAlexW2016194729MaRDI QIDQ1839285

Alain Verschoren

Publication date: 1983

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(83)90076-2

zbMATH Keywords

relative Brauer groupsrelative Picard groups

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (9)

Unnamed Item ⋮ Involutive Brauer groups of a Krull domain ⋮ -Compatible torsion theories. The sheavesPic(Σ) andB(Σ) ⋮ Extension, restriction and picard-brauer exact sequences for torsion theories ⋮ Prime ideals and finiteness conditions for Gabriel topologies over commutative rings ⋮ Involutive invariants of the second kind ⋮ The exact sequence for a monoidal functor between closed categories ⋮ Relative Seminormalization. 1 ⋮ A Picard-Brauer exact sequence of categorical groups

Cites Work

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• Théorie de la descente et algèbres d'Azumaya
• The Brauer group of a ringed space
• Separable algebras over commutative rings
• The Brauer Group of a Commutative Ring
• On the Picard group of a Grothendieck category
• Rings and modules of quotients

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