Geodesic
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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