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A final remark on extending to strict total orders in modules

Published online by Cambridge University Press:  17 April 2009

Isidore Fleischer
Affiliation:
Département de Mathématiques, Université de Montréal, Montréal, Canada.
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Abstract

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The remark is that the recent work in this Bulletin dealing with the extension of a partial to a total strict order on a module over a partially ordered ring falls under standard order extension results for operator groups once it is noted that the added requirement of strictness just comes to injective operation of the positive scalars. These standard results are in turn generalized to a universal algebra setting.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

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