Finite modular congruence lattices (Q2577753)

The paper gives a partial solution of the famous finite congruence lattice representation problem: Given a finite lattice \(L\), does there exist a finite algebra \(A\) with \(\text{Con}\,A\cong L\)? The authors present a finite congruence lattice representation for every finite lattice in the variety of modular lattices generated by all finite lattices obtained by gluing together some copies of \(M_3\).