Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice must contain two complemented elements such that not both their join and their meet are complemented. We distinguish eight cases and in each of these cases we present such a lattice of minimal cardinality.
Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice must contain two complemented elements such that not both their join and their meet are complemented. We distinguish eight cases and in each of these cases we present such a lattice of minimal cardinality. (en)