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Planar Sublattices of a Free Lattice. I
Published online by Cambridge University Press: 20 November 2018
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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).
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- Copyright © Canadian Mathematical Society 1978
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