Euclidean Windows

DOI10.1112/S1461157000000334zbMath1036.11051arXiv1202.6020OpenAlexW3037672488MaRDI QIDQ2709395

Stefania Hedwig Cavallar, Franz Lemmermeyer

Publication date: 9 May 2001

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6020

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Euclidean rings and generalizations (13F07)

Related Items (1)

Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1

Cites Work

• L'anneau \({\mathbb{Z}}[\sqrt{14}\) et l'algorithme euclidien. (The ring \({\mathbb{Z}}[\sqrt{14}]\) and the Euclidean algorithm)]
• A quadratic field which is Euclidean but not norm-Euclidean
• On the verification of Clark's example of a Euclidean but not norm- Euclidean number field
• The inhomogeneous minima of binary quadratic forms. I
• Non-Galois cubic fields which are Euclidean but not norm-Euclidean

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