Proper congruence-preserving extensions of lattices

George Grätzer (1) , Friedrich Wehrung (2)

1 Department of Mathematics
2 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We prove that every lattice with more than one element has a proper congruence-preserving extension.

Mots clés: Lattice; congruence; congruence-preserving extension; proper extension

Domaines: Mathématiques générales [math.GM]

George Grätzer, Friedrich Wehrung. Proper congruence-preserving extensions of lattices. Acta Mathematica Hungarica, 1999, 85 (1-2), pp.169-179. ⟨10.1023/A:1006693517705⟩. ⟨hal-00004053⟩