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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.
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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

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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