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Lattices, complements and tight Riesz orders
Published online by Cambridge University Press: 09 April 2009
Abstract
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It is proved that there exists no compatible tight Riesz order on a complemented modular lattice. An example is provided of a complemented lattice with a compatible tight Riesz order.
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- Research Article
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- Copyright © Australian Mathematical Society 1976
References
Cameron, Neil and Miller, J. B., ‘Topology and axioms of interpolation in partially ordered spaces’, J. fur die reine u. angewandte Math. (to appear).Google Scholar
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Wirth, A. (1973), ‘Compatible tight Riesz orders’, J. Austral. Math. Soc. 15, 105–11.CrossRefGoogle Scholar
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