A quadratic field which is Euclidean but not norm-Euclidean

DOI10.1007/BF02567617zbMath0817.11047WikidataQ55899107 ScholiaQ55899107MaRDI QIDQ1331745

David A. Clark

Publication date: 8 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155964

zbMATH Keywords

Euclidean quadratic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (7)

On the verification of Clark's example of a Euclidean but not norm- Euclidean number field ⋮ Euclidean algorithm in Galois quartic fields ⋮ Euclidean Windows ⋮ A Survey of Certain Euclidean Number Fields ⋮ Rabinowitsch times six ⋮ Non-Galois cubic fields which are Euclidean but not norm-Euclidean ⋮ Euclidean systems

Cites Work

• Quadratische Zahlkörper mit Euklidischem Algorithmus
• The inhomogeneous minima of binary quadratic forms. I
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