Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices
Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 69-78

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In [8], McKenzie introduced the notion of a bounded homomorphism between lattices, and, using this concept, proved several deep results in lattice theory. Some of these results were intimately connected with the work of Jónsson and Kiefer in [6] where an attempt was made to characterize finite sublattices of free lattices. McKenzie's characterization and others that followed (see [7] and [5]) still have not answered the (now) celebrated Jônsson conjecture: A finite lattice is a sublattice of a free lattice if and only if it satisfies (SD ∨), (SD ∨) and (W).(The properties mentioned here are defined in the text.)
Day, Alan. Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices. Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 69-78. doi: 10.4153/CJM-1979-008-x
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