On Euclidean and Pythagorean nearfields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 45-50
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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.
@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},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/}
}
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/