On copowers of an ordered skew field
type: Item
instance of: scholarly article
title: On copowers of an ordered skew field
zbMATH Open document ID: 0574.16009
DOI: 10.1007/BF00582743
published in: Order
publication date: 1985-01-01T00:00:00Z
review text: Let E be an ordered skew field and K be a skew subfield, such that the double centralizer of K is K. The author proves that a field coproduct of any (countable) number of E with amalgamated K admits an ordering extending that of E. As an application he proves a corresponding statement for ordered groups.
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 20F60
Mathematics Subject Classification ID: 06F25
Mathematics Subject Classification ID: 16W80
zbMATH DE Number: 3916491
zbMATH Keywords: ordered skew field
zbMATH Keywords: double centralizer
zbMATH Keywords: field coproduct
zbMATH Keywords: ordered groups
Wikidata QID: Q105693416
author: Paul M. Cohn
reviewed by: Leonid Makar-Limanov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00582743
OpenAlex ID: W1986133597
description: scientific article; zbMATH DE number 3916491