Co-Henselian extensions and Henselizations of skew fields
type: Item
instance of: scholarly article
title: Co-Henselian extensions and Henselizations of skew fields
zbMATH Open document ID: 0685.16014
DOI: 10.1007/BF01980736
published in: Algebra and Logic
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 12J10
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 4122160
zbMATH Keywords: Cohenselian extensions
zbMATH Keywords: valued field
zbMATH Keywords: valued skew fields
zbMATH Keywords: Henselization
author: Yuri L. Ershov
reviewed by: V. I. Yanchevskiĭ
MaRDI profile type: Publication
cites work: Q5675291
cites work: Q3249822
cites work: Q5639812
cites work: Q3961610
cites work: Ostrwoski's theorem for Henselian valued skew fields.
cites work: The Henselization of a valued division algebra
cites work: Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
cites work: Q5796078
full work available at URL: https://doi.org/10.1007/bf01980736
OpenAlex ID: W2016435854
description: scientific article; zbMATH DE number 4122160