Every Finite Abelian Group is the Brauer Group of a Ring

DOI10.2307/2043931zbMath0476.13003OpenAlexW4245992043MaRDI QIDQ3933088

Timothy J. Ford

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043931

zbMATH Keywords

ruled surfaceregular domainetale cohomologyAbelian group as Brauer groupcomputation of Brauer group

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Families, moduli, classification: algebraic theory (14J10) Brauer groups of schemes (14F22) Relevant commutative algebra (14A05) Homological methods in commutative ring theory (13D99)

Related Items

On the Brauer group of a Laurent polynomial ring ⋮ On the Brauer group of \(k[x_ 1,\dots ,x_ n,1/f\)] ⋮ On the Brauer group of surfaces ⋮ Unnamed Item ⋮ Open problems on central simple algebras. ⋮ On Brauer groups of graded Krull domains and positively graded rings

Cites Work

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• A Mayer-Vietoris sequence for the Brauer group
• The Brauer group of a ring modulo an ideal
• The Brauer Group of a Commutative Ring
• Some theorems on azumaya algebras
• Mayer-Vietoris Sequences and Brauer Groups of Nonnormal Domains
• Brauer Groups of Linear Algebraic Groups with Characters