On complete congruence lattices of complete modular lattices
R Freese, G GRÄTZE, ET Schmidt - International Journal of Algebra …, 1991 - World Scientific
R Freese, G GRÄTZE, ET Schmidt
International Journal of Algebra and Computation, 1991•World ScientificThe 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.
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.
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.
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