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28 March 2024
 
  » arxiv » 1603.5124

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Extending Galvin and J'onsson's Characterization of Distributive Sublattices of Free Lattices
Brian T. Chan ;
Date 16 Mar 2016
AbstractIn 1959, F.Galvin and B.J’onsson’s characterized distributive sublattices of free lattices. In this paper, I will create new proofs to a portion of Galvin and J’onsson’s work. Based on these new proofs, I will explore possible generalizations of F.Galvin and B.J’onsson’s work by proving a new partial result on finite width sublattices of free lattices and making an observation about finitely generated semidistributive varieties.
The work done in this paper may assist in attacking the following long-standing open problem: Which countable lattices are isomorphic to a sublattice of a free lattice?
Source arXiv, 1603.5124
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