O kvaternionech. [I.]
O kvaternionech. [II.]
O kvaternionech. [III.]
On ordered division rings
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 for nonzero , 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 commutative...
On the ...-invariant for quadratics forms and the linkage of cyclic algebras.
On the roots of polynomials over division algebras.
Ostrwoski's theorem for Henselian valued skew fields.