Subdirect decompositions of lattices of width two
Oscar Nelson · Pacific Journal of Mathematics · 1968
The class of nontrivial distributive lattices is the class of subdirect products of two-element chains.Lattices of width one are distributive and hence are subdirect products of two element chains.Below it is shown that lattices of width two are subdirect products of two element chains and nonmodular lattices of order five (jV 5 ).(width = greatest number of pairwise incomparable elements.)