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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 45–50 (Mi fpm1025)  
On Euclidean and Pythagorean nearfields

Ch. Karpfinger

Technische Universität München
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Abstract: 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.
Received: 01.05.2006
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 3, Pages 308–311
DOI: https://doi.org/10.1007/s10958-008-9188-y
Bibliographic databases:
UDC: 512.623.8
Language: Russian
Citation: Ch. Karpfinger, “On Euclidean and Pythagorean nearfields”, Fundam. Prikl. Mat., 13:3 (2007), 45–50; J. Math. Sci., 154:3 (2008), 308–311
Citation in format AMSBIB
\Bibitem{Kar07}
\by Ch.~Karpfinger
\paper On Euclidean and Pythagorean nearfields
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 3
\pages 45--50
\mathnet{http://mi.mathnet.ru/fpm1025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2322988}
\zmath{https://zbmath.org/?q=an:1173.12004}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 3
\pages 308--311
\crossref{https://doi.org/10.1007/s10958-008-9188-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54849410603}
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    		Фундаментальная и прикладная математика
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