Properties of extensions of algebraically maximal fields

Autores: G. Leloup
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 54, Fasc. 1, 2003, págs. 53-72
Idioma: inglés
Títulos paralelos:
- Propiedades de extensiones de campos algebraicamente máximos
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Resumen
- We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.