Some remarks on ordered fields
Masayoshi Nagata (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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Masayoshi Nagata (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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G. De Marco, M. Richter (1971)
Rendiconti del Seminario Matematico della Università di Padova
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Otton Martin Nikodým (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Paulo Ribenboim (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Yoshio Tanaka (2012)
Commentationes Mathematicae Universitatis Carolinae
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An ordered field is a field which has a linear order and the order topology by this order. For a subfield of an ordered field, we give characterizations for to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on .
Jan-Hendrik Evertse (1986)
Acta Arithmetica
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Barry Green (1991)
Journal de théorie des nombres de Bordeaux
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Shamseddine, Khodr, Berz, Martin (2002)
International Journal of Mathematics and Mathematical Sciences
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