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Compatible tight Riesz orders

Published online by Cambridge University Press:  09 April 2009

Andrew Wirth
Andrew Wirth
Affiliation:
Department of Mathematics Monash University Victoria, 3168, Australia
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Loy and Miller [4] have studied tight Riesz groups (G, ≦), without pseudozeros, and with (G, ≼) an l-group. In this paper we study abelian l-groups (G, ≼) on which a tight Riesz order can the defined, such that ⋞ is precisely the associated order. Such an order we call a CTRO (compatible tight Riesz order).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 105 - 111
Copyright
Copyright © Australian Mathematical Society 1973

References

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