On two classical theorems in the theory of orders

DOI10.1016/0022-314X(90)90049-WzbMath0714.16013OpenAlexW2016821313MaRDI QIDQ750571

D. Kharzeev

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(90)90049-w

zbMATH Keywords

class numberscompletionmaximal ordersglobal fieldcentral simple algebraideal classesbouquetChevalley-Hasse-Noether theoremidèle groupLatimer- MacDuffee theoremramification pointset of embeddings

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (2)

Selectivity in quaternion algebras ⋮ Embedding orders into central simple algebras

Cites Work

• Unnamed Item
• Riemann-Roch theorem for locally principal orders
• A correspondence between classes of ideals and classes of matrices
• A combinatorial class number formula.
• On a Theorem of Latimer and Macduffee

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