Finite sublattices of three-generated lattices Academic Article uri icon

abstract

  • AbstractEvery lattice generated by three unordered elements contains a finite sublattice generated by three unordered elements. A list β„’ 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 onΔ— of the lattices in β„’ moreover, β„’ is the smallest such list.

publication date

  • March 1976