FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 45-50

On Euclidean and Pythagorean nearfields

Ch. Karpfinger

Abstract

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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.

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