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The vector lattice cover of certain partially ordered groups

Part of: Ordered structures Topological linear spaces and related structures

Published online by Cambridge University Press:  09 April 2009

G. Buskes  and
A. Van Rooij
G. Buskes
Affiliation:
The University of Mississippi, College of Liberal Arts University, MS 38677, USA
A. Van Rooij
Affiliation:
Catholic UniversityToernooiveld, 6525 ED Nijmegen, The Netherlands
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Abstract

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In this paper we introduce the notion of Riesz homomorphism on Archimedean directed partially ordered groups and use it to study the vector lattice cover of such groups.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices 06F15: Ordered groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 3 , June 1993 , pp. 352 - 367
Copyright
Copyright © Australian Mathematical Society 1993

References

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