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Minorations d’unités fondamentales—applications

Published online by Cambridge University Press:  22 January 2016

Stéphane Louboutin
Stéphane Louboutin*
Affiliation:
Université de Caen, U. F. R. Sciences, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France email: [email protected]
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Un idéal entier I d’un corps quadratique réel k est dit primitif lorsque n ∈ N* et (n) divise I impliquent n = 1. Un idéal entier est primitif si et seulement si il vérifie les trois conditions suivantes:

(i) il n’est divisible par aucun idéal premier inerte,

(ii) il n’est divisible par le carré d’aucun idéal premier ramifié,

(iii) si il est divisible par un idéal premier totalement décomposé, alors il n’est pas divisible par son idéal premier conjugué.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 130 , June 1993 , pp. 1 - 18
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

Bibliographie

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