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Compatible tight Riesz orders on groups of integer-valued functions
Published online by Cambridge University Press: 17 April 2009
Abstract
A construction due to Reilly is extended to show that there is a correspondence between compatible tight Riesz orders on ZX and non-principal filters on X. The maximal compatible tight Riesz orders are in one-to-one correspondence with non-principal ultra-filters, and are dual prime subsets of the positive set of ZX. Conversely every dual prime algebraic Riesz order is maximal.
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- Copyright © Australian Mathematical Society 1975