Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 45-50
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Ch. Karpfinger. On Euclidean and Pythagorean nearfields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 45-50. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/
@article{FPM_2007_13_3_a6,
author = {Ch. Karpfinger},
title = {On {Euclidean} and {Pythagorean} nearfields},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {45--50},
year = {2007},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/}
}
TY - JOUR
AU - Ch. Karpfinger
TI - On Euclidean and Pythagorean nearfields
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2007
SP - 45
EP - 50
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/
LA - ru
ID - FPM_2007_13_3_a6
ER -
%0 Journal Article
%A Ch. Karpfinger
%T On Euclidean and Pythagorean nearfields
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 45-50
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/
%G ru
%F FPM_2007_13_3_a6
We give a method for the construction of ordered nearfields and especially of Euclidean and Pythagorean nearfields, i.e., of formally real nearfields whose groups of squares are orderings and, respectively, additively closed.
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