CONGRUENCE RELATIONS ON MULTILATTICES
Pablo Cordero, G. Gutiérrez, J. Martínez, Manuel Ojeda‐Aciego, I. de las Peñas · 2008
We focus on a possible generalisation of the theory of congruences on a lattice to a more general framework. In this paper, we prove that the set of congruences on an m-distributive multilattice forms a complete lattice and, moreover, show that the classical relationship between homomorphisms and congruences can be adequately adapted to work with multilattices.