The cones associated to some tranversal polymatroids.

Ştefan, Alin

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On ordered division rings

Ismail M. Idris (2003)

Czechoslovak Mathematical Journal

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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 $x \to x a^{2}$ for nonzero $a$ , instead of requiring that positive elements have a positive product. In this work, this type of ordering is studied in the case of a division ring. It is shown that it actually behaves the same as in the...