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Finite sublattices of three-generated lattices
Published online by Cambridge University Press: 09 April 2009
Abstract
Every lattice generated by three unordered elements contains a finite sublattice generated by three unordered elements. A list ℒ of twelve finite lattices, each generated by a three-element unordered set, is given. It is proved that every lattice generated by a three-element unordered set contains a sublattice isomorphic to onė of the lattices in ℒ moreover, ℒ is the smallest such list.
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- Copyright © Australian Mathematical Society 1976
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