Congrunce lattices of rectangular lattices
Peng He, Xue-ping Wang · Journal of Intelligent & Fuzzy Systems · 2020
Let D be a finite distributive lattice with n join-irreducible elements. It is well-known that D can be represented as the congruence lattice of a rectangular lattice L which is a special planer semimodular lattice. In this paper, we shall give a better upper bound for the size of L by a function of n , improving a 2009 result of G. Grätzer and E. Knapp.