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Périodicité des théories élémentaires des corps de séries formelles itérées

Published online by Cambridge University Press:  12 March 2014

Françoise Delon
Françoise Delon*
Affiliation:
Équipe de Logique Mathématique, Université Paris VII, Paris, France
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Abstract

C. U. Jensen suggested the following construction, starting from a field K:

and asked when two fields Kα and Kβ are equivalent. We give a complete answer in the case of a field K of characteristic 0.

Keywords

Ax/Kochen-Eršov theoremdefinability of valuations in the language of ringselementary equivalenceelementary inclusionfirst-order theoriesiterated power series fieldsgeneralized power series fieldsperiodicity.
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 2 , June 1986 , pp. 334 - 351
Copyright
Copyright © Association for Symbolic Logic 1986

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References

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