Geodesic
Planar Sublattices of a Free Lattice. I
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1256-1283

Voir la notice de l'article provenant de la source Cambridge University Press

There are three lattice-theoretic properties that are generally used to open a discussion on sublattices of a free lattice:(W) for all a, b, c, d, a Λ b ≦ c V d implies a A b ≦ c, a Λ b g rf, a ≦cVd,orb ≦ c V d;(SDv) for all a, b, c, a V b = a V c implies a V b = a V (b Λ c ) ;(SDΛ) for all a, b, c, a Λ b = a Λ c implies a Λ b = a Λ (b V c). 
Rival, Ivan; Sands, Bill. Planar Sublattices of a Free Lattice. I. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1256-1283. doi: 10.4153/CJM-1978-104-2
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