Totally indefinite Euclidean quaternion fields

DOI10.4064/aa165-2-4zbMath1305.16011OpenAlexW2327481327MaRDI QIDQ3190353

Jérôme Chaubert, Pierre Lezowski, Jean-Paul Cerri

Publication date: 16 September 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4fe80bcd1aa188735317ca5df6be34fae525b0f5

zbMATH Keywords

Euclidean ordersnorm-Euclidean orderstotally indefinite quaternion fields

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Euclidean rings and generalizations (13F07) Orders in separable algebras (16H10)

Related Items (1)

The twisted Euclidean algorithm: applications to number theory and geometry

Cites Work

• Euclidean minima of totally real number fields: Algorithmic determination
• EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS
• ℤ[ is Euclidean]
• EUCLIDEAN TOTALLY DEFINITE QUATERNION FIELDS OVER THE RATIONAL FIELD AND OVER QUADRATIC NUMBER FIELDS
• Computation of the Euclidean minimum of algebraic number fields

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