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The π-Full Tight Riesz Orders on A(Ω)

Published online by Cambridge University Press:  20 November 2018

Gary Davis  and
Stephen H. McCleary
Gary Davis
Affiliation:
La Trobe University, Bundoora, Victoria, Australia., University of Georgia, Athens, Georgia, USA
Stephen H. McCleary
Affiliation:
La Trobe University, Bundoora, Victoria, Australia., University of Georgia, Athens, Georgia, USA
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Let G be a lattice-ordered group (l-group), and let t, u∈ G+. We write tπu if t ∧ g = 1 is equivalent to u ∧ g = 1, and say that a tight Riesz order T on G is π-full if t ∈ T and t π U imply u∈T. We study the set of π-full tight Riesz orders on an l-permutation group (G, Ω), Ω a totally ordered set.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 137 - 151
Copyright
Copyright © Canadian Mathematical Society 1981

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