Fields with two linear orderings

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1970 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 7, pages 319-325 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Bredikhin, S. V.; Ershov, Yu. L.; Kal'nej, V. E.;

doi: 10.1007/bf01123840

Fields with two linear orderings

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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.

Related Organizations

Russian Academy of Sciences
Russian Federation
National Academy of Sciences of Ukraine
Ukraine
Institute of Mathematics
Ukraine

Keywords

Ordered fields

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