The prime ideal theorem in non-commutative arithmetic

DOI10.1007/BF01215015zbMath0506.12015MaRDI QIDQ1836693

Colin J. Bushnell, Irving Reiner

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173223

zbMATH Keywords

class numberprime ideal theorem

Mathematics Subject Classification ID

Algebraic number theory: global fields (11R99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (3)

Zeta functions of two-sided ideals in arithmetic orders ⋮ Zeta functions and composition factors for arithmetic orders ⋮ A proof of Solomon's second conjecture on local zeta functions of orders

Cites Work

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• Zeta functions of arithmetic orders and Solomon's conjectures
• L-functions of arithmetic orders and asymptotic distribution of ideals.
• Locally free modules over arithmetic orders.
• On Embedding of Lattices Belonging to the Same Genus

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