Properties of extensions of algebraically maximal fields.
Leloup, G.
Collectanea Mathematica, Tome 54 (2003), p. 53-72 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2003-01-01
DMLE-ID : 554 
@article{urn:eudml:doc:43001,
     title = {Properties of extensions of algebraically maximal fields.},
     journal = {Collectanea Mathematica},
     volume = {54},
     year = {2003},
     pages = {53-72},
     zbl = {1020.03035},
     mrnumber = {MR1962944},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43001}
}

Leloup, G. Properties of extensions of algebraically maximal fields.. Collectanea Mathematica, Tome 54 (2003) pp. 53-72. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43001/