Sever Angel Popescu: On a class of Henselian fields, p.193-198

Abstract:

In this note we introduce a new class of Henselian fields (called strongly Henselian fields), which generalize the case of a complete rank $1$ Krull valued field. We characterize the class of closed subfields of a discrete complete rank $1$ and of equal characteristic valued field. We also make some considerations on the automorphisms group of a complet nonalgebraically closed rank $1$ valued field.

Key Words: Valued fields, Henselian fields, power series fields.

2000 Mathematics Subject Classification: Primary: 12J10, 12J25, 12F09;
Secondary: 12F10, 12J20, 13F25.

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