Co-Henselian extensions and Henselizations of skew fields (Q1825931)

Let (F,v) be a valued field, L an algebraic extension of F. If v has a unique extension to a valuation on L, then L is Cohenselian over (F,v). The aim of this paper is to investigate Cohenselian extensions of a valued field and consider their applications for valued skew fields. The author also gives the correction of an error which was admitted by him in the proof of the existence of the Henselization of valued skew fields in his previous work. Earlier by using other ideas P. Morandi proved the existence of the Henselization for valued skew fields.