Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-03T02:58:59.941Z Has data issue: false hasContentIssue false
  • English
  • Français

On Teh's construction of orders in Abelian groups

Published online by Cambridge University Press:  24 October 2008

Donald P. Minassian
Donald P. Minassian
Affiliation:
Butler University, Indianapolis, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

A claim of H. H. Teh on Archimedean full orders ((2), ‘only if’ of Theorem 2, p. 480) fails. His statement (p. 478, line 5) that the direct product of n copies of the additive rational numbers admits no full order of Archimedean rank more than n is proved without Hahn's embedding theorem. A few other remarks are made.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 433 - 436
Copyright
Copyright © Cambridge Philosophical Society 1972

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Fuchs, L.Partially ordered algebraic systems (London, 1963; Pergamon Press).Google Scholar
(2)Teh, H. H.Construction of orders in Abelian groups. Proc. Cambridge Philos. Soc. 57 (1961), 476–82.CrossRefGoogle Scholar