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Matematicheskie Zametki, 1970, Volume 7, Issue 5, Pages 525–536 (Mi mzm9536)  
Fields with two linear orderings

S. V. Bredikhin, Yu. L. Ershov, V. G. Kal'nei

Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR
Full-text PDF (1435 kB) (1)
Abstract: 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.
Received: 24.03.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 5, Pages 319–325
DOI: https://doi.org/10.1007/BF01123840
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: S. V. Bredikhin, Yu. L. Ershov, V. G. Kal'nei, “Fields with two linear orderings”, Mat. Zametki, 7:5 (1970), 525–536; Math. Notes, 7:5 (1970), 319–325
Citation in format AMSBIB
\Bibitem{BreErsKal70}
\by S.~V.~Bredikhin, Yu.~L.~Ershov, V.~G.~Kal'nei
\paper Fields with two linear orderings
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 5
\pages 525--536
\mathnet{http://mi.mathnet.ru/mzm9536}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=266910}
\zmath{https://zbmath.org/?q=an:0205.06101|0195.32803}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 5
\pages 319--325
\crossref{https://doi.org/10.1007/BF01123840}
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    		Математические заметки Mathematical Notes
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