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Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

Jean-Paul Cerri

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Source: Crossref

Published: Feb 4, 2011

DOI: 10.1090/s0025-5718-2011-02468-3

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Source abstract

We give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.

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Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean — Mathematical Frontier Network