Planar Sublattices of a Free Lattice. II
- 1 February 1979
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 31 (1) , 17-34
- https://doi.org/10.4153/cjm-1979-003-8
Abstract
In Planar sublattices of a free lattice, I [8] we verify Jonsson's conjecture for finite planar lattices; in particular we obtain a characterization of finite planar sublattices of a free lattice among all finite lattices. In the present paper we use arguments of a quite different flavour to obtain another characterization. Let be the family of lattices illustrated in Figures 1, 2, 3, and 4. Our goal is to prove the following theorem: a finite lattice is a planar sublattice of a free lattice if andonly if it does not have a member of as a sublattice.Keywords
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