# Properties of extensions of algebraically maximal fields.

Collectanea Mathematica (2003)

- Volume: 54, Issue: 1, page 53-72
- ISSN: 0010-0757

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topLeloup, 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 > 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 > 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 -

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