Abstract. In this paper we study the existence of simultaneous representations of finite distributive lattices by congruences of finite atomistic lattices. We prove a 2-dimensional theorem that can be interpreted as an amalgamation property for the category of finite atomistic lattices with congruence preserving embeddings as morphisms.

AMS Subject Classification (1991): 06B10, 06D05

Received January 20, 1998. (Registered under 3293/2009.)