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Indécidabilité de corps de séries formelles

Published online by Cambridge University Press:  12 March 2014

Françoise Delon  and
Yamina Rouani
Françoise Delon
Affiliation:
Équipe De Logique Mathématique, Université Paris-VII Et C.N.R.S. 75251 Paris, France
Yamina Rouani
Affiliation:
Équipe De Logique Mathématique, Université Paris-VII Et C.N.R.S. 75251 Paris, France
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Abstract

Consider k((G)) in the language of valued fields enriched with a unary predicate for the set of constants and another one for the cross-section. For perfect k, this structure is undecidable if it does not satisfy Kaplansky's conditions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 4 , December 1988 , pp. 1227 - 1234
Copyright
Copyright © Association for Symbolic Logic 1988

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References

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