A complex version of the baer-krull theorems

Abstract

In the setting of the complex spectrum of a field of characteristic zero we give complex analogs of the celebrated (real) Baer-Krull theorems relat-ing the orderings of a field compatible with a given valuation ring with the orderings of the residue class field of that valuation ring.

1991 AMS Subject Classification:

• 12J10
• 12J15

^*Partially supported by CICYT, PB 89/0379-C02-02 and by DGICYT.

^*Partially supported by CICYT, PB 89/0379-C02-02 and by DGICYT.

Notes

^*Partially supported by CICYT, PB 89/0379-C02-02 and by DGICYT.