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