Involutive Brauer groups of a Krull domain

DOI10.1080/00927879508825530zbMath0864.16013OpenAlexW2005973892MaRDI QIDQ4863784

M. Victoria Reyes Sánchez, Alain Verschoren

Publication date: 15 April 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825530

zbMATH Keywords

class groupsexact sequencesétale cohomology groupsBrauer group of schemesreflexive Brauer groupsaffine normal domainscategories of divisorial lattices over Krull domainsordinary Brauer groupssheaves of Azumaya algebras with involution

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Azumaya algebras with involutions
• Brauer groups and class groups for Krull domains: a \(K\)-theoretic approach
• A relative version of the Chase-Harrison-Rosenberg sequence
• A cohomological interpretation of the reflexive Brauer group
• Analogues of the Brauer group for algebras with involution
• Reflexive modules and algebra class groups over noetherian integrally closed domains
• Azumaya algebras with involution
• Exact sequences for relative Brauer groups and Picard groups
• The Brauer group of a ringed space
• Maximal orders over Krull domains
• Splitting and crossed products in relative brauer groups
• Brauer Groups, Class Groups and Maximal Orders for a Krull Scheme
• Rings and modules of quotients

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