Small representations of finite distributive lattices as congruence lattices
George Grätzer, Ivan Rival, Nejib Zaguia · Proceedings of the American Mathematical Society · 1995
A recent result of G . Grätzer, H. Lakser, and E. T. Schmidt states that for any distributive lattice D with n join-irreducible elements, there exists a lattice L with O ( n 2 ) O({n^2}) elements, whose congruence lattice Con L is isomorphic to D . We show that this result is best possible.