Article contents
A remark on Ribenboim's paper ‘On the extension of orders in ordered modules’
Published online by Cambridge University Press: 17 April 2009
Abstract
We give another formulation of Theorem 1 of Ribenboim's paper, Bull. Austral. Math. Soc. 2 (1970), 81–88. Our condition on a module to be totally ordered such that this order extends a given strict order seems to be more useful for applications than condition (2) of Ribenboim. This is shown for example in Corollaries 3 and It of our paper. Corollary 4 is due to Ribenboim. Corollary 3 generalizes the corresponding well known result on abelian groups.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1972
References
- 3
- Cited by