Small Representations of Finite Distributive Lattices as Congruence Lattice
George Grätzer, Ivan Rival, Nejib Zaguia · Proceedings of the American Mathematical Society · 1995
A recent result of G. Gratzer, H. Lakser, and E. T. Schmidt states that for any distributive lattice D with n join-irreducible elements, there exists a lattice L with 0(n2) elements, whose congruence lattice ConL is isomorphic to D . We show that this result is best possible.