On orderings, valuations and 0-primes of a commutative ring
type: Item
instance of: scholarly article
title: On orderings, valuations and 0-primes of a commutative ring
zbMATH Open document ID: 0706.13004
DOI: 10.1216/RMJ-1989-19-3-973
author: K. G. Valente
published in: Rocky Mountain Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: This paper examines the interplay between the orderings and valuations of a commutative ring R. When R is a field, this is a well-known area of study. Topics studied in this paper include: conditions for R to be semi- real (-1 is not a sum of squares in R) in terms of the 0-primes of R, compatibility of valuations and orderings of R, and various topologies on certain sets of valuations of R when R is semi-real. Several examples are given to illustrate the theory.
Mathematics Subject Classification ID: 13A18
Mathematics Subject Classification ID: 13J25
Mathematics Subject Classification ID: 12D15
zbMATH DE Number: 4158778
zbMATH Keywords: semi-real ring
zbMATH Keywords: orderings
zbMATH Keywords: valuations
reviewed by: David F. Anderson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4158778