Splitting and crossed products in relative brauer groups

DOI10.1080/00927878308822971zbMath0543.16004OpenAlexW2068779988MaRDI QIDQ3331356

Alain Verschoren, Freddy M. J. van Oystaeyen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822971

zbMATH Keywords

prime idealssplittinglocalizationAzumaya R-algebrasrelative Azumaya algebrascentral R-algebrasrelative crossed product theorem

Mathematics Subject Classification ID

Group rings (16S34) 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) Localization and associative Noetherian rings (16P50)

Related Items (4)

Divisorially graded rings, related groups, and sequences ⋮ Norms and generalized class groups ⋮ Involutive Brauer groups of a Krull domain ⋮ On Clifford systems and generalized crossed products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reflexive modules and algebra class groups over noetherian integrally closed domains
• Prime spectra in non-commutative algebra
• Théorie de la descente et algèbres d'Azumaya
• Separable algebras over commutative rings
• Rings and modules of quotients

This page was built for publication: Splitting and crossed products in relative brauer groups