On preorders of ternary fields
type: Item
instance of: scholarly article
title: On preorders of ternary fields
zbMATH Open document ID: 0645.06010
DOI: 10.1007/BF02941366
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1988-01-01T00:00:00Z
review text: The concept of preorderings of orderable fields (see \textit{A. Prestel} [Lectures of formally real fields, IMPA Lect. Notes 22 (1974; Zbl 0548.12010)]) is extended to arbitrary ternary rings. Applications concerning the Serre criterion, the number of orderings of a ternary ring and the existence of orderings for which a given place is order- preserving are given.
Mathematics Subject Classification ID: 06F25
Mathematics Subject Classification ID: 51G05
Mathematics Subject Classification ID: 12J15
Mathematics Subject Classification ID: 17A40
zbMATH DE Number: 4051698
zbMATH Keywords: preordering
zbMATH Keywords: ternary rings
zbMATH Keywords: Serre criterion
zbMATH Keywords: number of orderings
author: Franz B. Kalhoff
reviewed by: Franz B. Kalhoff
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02941366
OpenAlex ID: W2330730644
description: scientific article; zbMATH DE number 4051698