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Totally ordered fields with symmetric gaps. (Russian. English summary) Zbl 1510.12005


MSC:

12J15 Ordered fields

References:

[1] Pestov G. G., The structure of ordered fields, TSU publ., Tomsk, 1980
[2] Pestov G. G., “On the Theory of Cuts in Ordered Fields”, Sib. Math. J., 42:6 (2001), 1123-1131 · Zbl 0998.12011 · doi:10.1023/A:1012800828633
[3] Pestov G. G., To the theory of ordered fields and groups, Dis. doct. fiz.-mat. nauk: 01.01.06, Tomsk, 2003, 273 pp.
[4] Pestov G. G., “Investigations on ordered groups and fields in Tomsk State University”, Tomsk State University Journal of Mathematics and Mechanics, 2011, no. 3(15), 41-58 · Zbl 1510.06004
[5] Galanova N. Yu., “Symmetry of sections in fields of formal power series and nonstandard real line”, Algebra and Logic, 42 (2003), 14-19 · Zbl 1035.12004 · doi:10.1023/A:1022672606591
[6] Galanova N. Yu., “Symmetric and asymmetric gaps in some fields of formal power series”, Serdica Math., 30 (2004), 495-504 · Zbl 1063.12007
[7] Galanova N. Y., “An investigation of the fields of bounded formal power series by means of theory of cuts”, Acta Appl. Math., 85 (2005), 121-126 · Zbl 1073.03023 · doi:10.1007/s10440-004-5593-5
[8] Dales H. J., Woodin H., Super real fields, Clarenden Press, Oxford, 1996 · Zbl 0856.54021
[9] Fuchs L., Partially ordered algebraic systems, Pergamon Press, Oxford, 1963 · Zbl 0137.02001
[10] Galanova N. Y., Pestov G. G., “Symmetry of cuts in fields of formal power series”, Algebra and Logic, 47:2 (2008), 100-106 · Zbl 1164.12006 · doi:10.1007/s10469-008-9001-5
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