Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 525-536
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S. V. Bredikhin; Yu. L. Ershov; V. G. Kal'nei. Fields with two linear orderings. Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 525-536. http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a0/
@article{MZM_1970_7_5_a0,
author = {S. V. Bredikhin and Yu. L. Ershov and V. G. Kal'nei},
title = {Fields with two linear orderings},
journal = {Matemati\v{c}eskie zametki},
pages = {525--536},
year = {1970},
volume = {7},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a0/}
}
TY - JOUR
AU - S. V. Bredikhin
AU - Yu. L. Ershov
AU - V. G. Kal'nei
TI - Fields with two linear orderings
JO - Matematičeskie zametki
PY - 1970
SP - 525
EP - 536
VL - 7
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a0/
LA - ru
ID - MZM_1970_7_5_a0
ER -
%0 Journal Article
%A S. V. Bredikhin
%A Yu. L. Ershov
%A V. G. Kal'nei
%T Fields with two linear orderings
%J Matematičeskie zametki
%D 1970
%P 525-536
%V 7
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a0/
%G ru
%F MZM_1970_7_5_a0
We characterize fields which are maximal with respect to the property of having two different linear orderings. The Galois group of the algebraic closure of a maximal field is described. An example of non-uniqueness of the maximal extension is mentioned.
