A characterization of Azumaya algebras

DOI10.1016/0022-4049(76)90006-2zbMath0339.16002OpenAlexW2082794958MaRDI QIDQ1230837

George Szeto

Publication date: 1976

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(76)90006-2

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Representation theory of associative rings and algebras (16Gxx)

Related Items

Local-global results for modules over algebras and Azumaya rings, Unnamed Item, Associative rings, Azumaya rings, pierce stalks and central ideal algebras

Cites Work

• The representation of biregular rings by sheaves
• Pierce's representation and separable algebras
• Separable algebras over commutative rings
• On Azumaya algebras and finite dimensional representations of rings
• Lectures on topics in algebraic \(K\)-theory
• On a theorem of M. Artin
• The Brauer Group of a Commutative Ring
• Modules over commutative regular rings
• Galois Theory with Infinitely Many Idempotents
• Hereditary Commutative Rings and Centres of Hereditary Rings
• Rings with a polynomial identity
• Topological Representation of Algebras
• On Maximally Central Algebras