Correction to a theorem on c-ordering
type: Item
instance of: scholarly article
title: Correction to a theorem on c-ordering
zbMATH Open document ID: 0673.16006
DOI: 10.1016/0021-8693(89)90161-0
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: This paper addresses an error in a previous paper of the author [ibid. 75, 495-522 (1982; Zbl 0482.16013)]. In this earlier work, the author proved that the bounded elements R in a c-ordered division ring D was a *-closed total valuation ring in D. Certain other properties of R which were claimed to hold are shown here to be false. The author points out the error in his earlier work and mentions various additional conditions regarding the ordering which rectify either some or all of the erroneous claims made there.
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 16W80
zbMATH DE Number: 4101390
zbMATH Keywords: involution
zbMATH Keywords: bounded elements
zbMATH Keywords: c-ordered division ring
zbMATH Keywords: *-closed total valuation ring
author: Maurice J. Chacron
reviewed by: Charles Lanski
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90161-0
OpenAlex ID: W2090194158
cites work: c-orderable division rings with involution
cites work: A symmetric version of the notion of c-ordering
cites work: On decomposing c-valued division rings
cites work: Division algebras over Henselian fields.
cites work: Extending Valuations to Finite Dimensional Division Algebras
description: scientific article; zbMATH DE number 4101390