The π-Full Tight Riesz Orders on A(Ω)
Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 137-151

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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.
Davis, Gary; McCleary, Stephen H. The π-Full Tight Riesz Orders on A(Ω). Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 137-151. doi: 10.4153/CMB-1981-024-3
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     author = {Davis, Gary and McCleary, Stephen H.},
     title = {The {\ensuremath{\pi}-Full} {Tight} {Riesz} {Orders} on {A(\ensuremath{\Omega})}},
     journal = {Canadian mathematical bulletin},
     pages = {137--151},
     year = {1981},
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     doi = {10.4153/CMB-1981-024-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-024-3/}
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