Class groups of maximal orders over Krull domains

DOI10.1016/0022-4049(84)90080-XzbMath0535.16005OpenAlexW2078573757MaRDI QIDQ790905

Lieven Le Bruyn

Publication date: 1984

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(84)90080-x

zbMATH Keywords

Picard groupscentral simple algebramaximal orderPI-ringslocally factorial Krull domainsnoncommutative affine schemesnormalizing classgroup

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Grothendieck groups, (K)-theory, etc. (16E20) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Generalizations (algebraic spaces, stacks) (14A20) Rings with polynomial identity (16Rxx)

Related Items (3)

Maximal orders having a discrete normalizing class group ⋮ Divisorially graded rings, related groups, and sequences ⋮ Quillen patching for maximal orders

Cites Work

• A duality theorem for orders in central simple algebras over function fields
• Some constructions of rings
• What is an \(\Omega\)-Krull ring?
• The Jespers-Van Oystaeyen conjecture
• Generalized Rees rings and relative maximal orders satisfying polynomial identities
• Ordres maximaux au sens de K. Asano
• Polynomial rings over Krull orders in simple Artinian rings
• Fixed rings of finite automorphism groups of associative rings
• Reflexive modules and algebra class groups over noetherian integrally closed domains
• On bounded Krull prime rings
• A note on maximal orders over Krull domains
• A characterization of central \(\Omega\)-Krull rings
• Théorie de la descente et algèbres d'Azumaya
• Maximal orders over Krull domains
• Hopf algebras and Galois theory
• Separable algebras over commutative rings
• Cancellation of Azumaya algebras
• Division algebras over discrete valued fields
• Untversal blalgebras associated with orders
• Maximal Orders over Regular Local Rings of Dimension Two
• Introduction to Algebraic K-Theory. (AM-72)
• Algebraic \(K\)-theory
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