ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES
Ralph S. Freese, G. GRÄTZE, E. T. Schmidt · International Journal of Algebra and Computation · 1991
The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K. In this paper we improve this result by showing that K can be chosen to be a complete modular lattice.