Properties of extensions of algebraically maximal fields.

Leloup, G.. "Properties of extensions of algebraically maximal fields.." Collectanea Mathematica 54.1 (2003): 53-72. <http://eudml.org/doc/43001>.

@article{Leloup2003,
abstract = {We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p &gt; 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.},
author = {Leloup, G.},
journal = {Collectanea Mathematica},
keywords = {pairs of valued fields of positive characteristic; elementarily equivalent pairs; decidability; Ax-Kochen-Ershov theorem; algebraically maximal fields},
language = {eng},
number = {1},
pages = {53-72},
title = {Properties of extensions of algebraically maximal fields.},
url = {http://eudml.org/doc/43001},
volume = {54},
year = {2003},
}

TY - JOUR
AU - Leloup, G.
TI - Properties of extensions of algebraically maximal fields.
JO - Collectanea Mathematica
PY - 2003
VL - 54
IS - 1
SP - 53
EP - 72
AB - We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p &gt; 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.
LA - eng
KW - pairs of valued fields of positive characteristic; elementarily equivalent pairs; decidability; Ax-Kochen-Ershov theorem; algebraically maximal fields
UR - http://eudml.org/doc/43001
ER -