  As the main achievement of the paper, we construct a three-generated,
2-distributive, atomless lattice that is not finitely presented. Also, the
paper contains the following three observations. First, every coatomless
three-generated lattice has at least one atom. Second, we give some sufficient
conditions implying that a three-generated lattice has at most three atoms.
Third, we present a three-generated meet-distributive lattice with four atoms.

Rings and Algebras