On the verification of Clark's example of a euclidean but not norm-euclidean number field

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1994 Germany English Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 83, pages 443-446 (issn: 0025-2611, eissn: 1432-1785,

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Authors: Niklasch, Gerhard;

doi: 10.1007/bf02567625

On the verification of Clark's example of a euclidean but not norm-euclidean number field

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Abstract

The author gives an alternative proof of a result of \textit{D. A. Clark} [Manuscr. Math. 83, No. 3-4, 327-330 (1994; Zbl 0817.11047)] that the maximal order of \(\mathbb{Q} (\sqrt {69})\) is a Euclidean but not norm- Euclidean ring.

Country

Germany

Related Organizations

Technical University of Munich
Germany
DigiZeitschriften
Germany
TECHNISCHE UNIVERSITAET MUENCHEN
Germany

Keywords

Quadratic extensions, norm-Euclidean ring, 510.mathematics, maximal order, Algebraic number theory computations, Euclidean algorithm, Article, Algebraic numbers; rings of algebraic integers

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