Some remarks on ordered fields

Masayoshi Nagata

Displaying similar documents to “Some remarks on ordered fields”

Unit fractions in fields

Ján Mináč (1985)

Mathematica Slovaca

Similarity:

On some characterizations of the complex number field

W. Więsław (1972)

Colloquium Mathematicae

Similarity:

On ordered division rings

Ismail M. Idris (2001)

Colloquium Mathematicae

Similarity:

Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel's axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under x ↦ xa² for non-zero a, in place of requiring that positive elements have a positive product. Our aim in this work is to study this type of ordering in the case of a division ring. We show that it actually behaves just as...