On normal Azumaya algebras and the Teichmüller cocycle map

DOI10.1016/0021-8693(72)90042-7zbMath0243.16003OpenAlexW2081165391MaRDI QIDQ2554392

Lindsay N. Childs

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90042-7

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (10)

Cyclic Stickelberger Cohomology and Descent of Kummer Extensions ⋮ On a question of M. Auslander ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ On the Teichmüller cocycle map ⋮ On crossed product algebras arising from weak cocycles ⋮ Unnamed Item ⋮ Normality of algebras over commutative rings and the Teichmüller class. I: The absolute case ⋮ Normality of algebras over commutative rings and the Teichmüller class. II: Crossed pairs and the relative case ⋮ Brauer groups and Amitsur cohomology for general commutative ring extensions ⋮ Brauer groups and Galois cohomology for a Krull scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homology groups and double complexes for arbitrary fields
• On commutor rings and Galois theory of separable algebras
• Lectures on topics in algebraic \(K\)-theory
• \(K\)-theory and stable algebra
• Automorphisms of separable algebras
• Über normale, zentrale, separable Algebren und Amitsur-Kohomologie
• The Brauer Group of a Commutative Ring
• The exact sequence of low degree and normal algebras
• Brauer groups of abelian schemes
• Cohomology and Galois Theory. I. Normality of Algebras and Teichmuller's Cocycle
• Cohomology of Group Extensions

This page was built for publication: On normal Azumaya algebras and the Teichmüller cocycle map