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Extending Galvin and J'onsson's Characterization of Distributive Sublattices of Free Lattices | Brian T. Chan
; | Date: |
16 Mar 2016 | Abstract: | In 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 | Services: | Forum | Review | PDF | Favorites |
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