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Journal Articles Mathematics of Computation Year : 2011

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

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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Dates and versions

hal-00505142 , version 1 (24-07-2010)
hal-00505142 , version 2 (22-07-2015)

Identifiers

  • HAL Id : hal-00505142 , version 2

Cite

Jean-Paul Cerri. Some Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean. Mathematics of Computation, 2011, 80 (276), pp.2289-2298. ⟨hal-00505142v2⟩
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