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On the extension of orders in ordered modules: Corrigenda

Published online by Cambridge University Press:  17 April 2009

P. Ribenboim
P. Ribenboim
Affiliation:
Queen's University, Kingston, Ontario.
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The author has noticed a faulty argument in his paper [1]; it occurs on p. 85 and requires the following changes:

At the end of line 9, for (Qi)i=1,2,… read (Qi)i ∈ I; in line 10, the equation should read ; lines 15 to 20 should be replaced by the following: then there exists some n–tuple δ = (δ1, …, δn) such that for every io there exists i ≥ io with εi = δ. Then δ1a1, …, δnan are positively independent over Q; for if rj ∈ PR and then there exists io such that , and for appropriate i ≥ io it follows that rj = 0 for j = 1, …, n.

Type
Correction
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 288
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Ribenboim, P., “On the extension of orders in ordered modules”, Bull. Austral. Math. Soc. 2 (1970), 81–88.CrossRefGoogle Scholar