On the Brauer group and factoriality of normal domains

DOI10.1016/0022-4049(75)90001-8zbMath0307.13005OpenAlexW2081805263MaRDI QIDQ1217744

Morris Orzech, Gerald S. Garfinkel, Lindsay N. Childs

Publication date: 1975

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(75)90001-8

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Local rings and semilocal rings (13H99)

Related Items (6)

Sul gruppo di Brauer di uno schema ⋮ On the Brauer group of surfaces ⋮ Hom and Ext, revisited ⋮ Unnamed Item ⋮ Reflexive modules ⋮ Exact sequences for relative Brauer groups and Picard groups

Cites Work

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• The Brauer group of a ringed space
• Maximal orders over Krull domains
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• Anneaux locaux henséliens
• Lectures on topics in algebraic \(K\)-theory
• The Brauer Group of a Commutative Ring
• Separable Algebras Over Commutative Rings
• An Exact Sequence in Galois Cohomology
• Maximal Orders
• On Maximally Central Algebras
• On unique factorization domains

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