%0 Journal Article
%1 Duquenne1991133
%A Duquenne, Vincent
%D 1991
%J Discrete Mathematics
%K core fca lattice scaffolding
%N 2-3
%P 133 - 147
%T The core of finite lattices
%U http://www.sciencedirect.com/science/article/B6V00-45GMF6D-5/2/1120caa94c245d57b16992536b46325d
%V 88
%X The meet-core of a finite lattice L is its minimal -- in fact minimum -- partial meet- subsemilattice of which the filter lattice is isomorphic to L. This gives a representation theory for finite lattices, in particular which extends Birkhoff's correspondence between ordered sets and distributive lattices, and is linked with Wille's notion of scaffolding. The meet-cores (and dually the join-cores) of modular, geometric and join-meet-distributive lattices are characterized locally by some obligatory sublattices or by some construction procedures otherwise.