Let $S$ be a set, then $[P(S),$ superset$]$ is a boolean lattice, in which $LUB$ is the same as Intersection, and $GLB$ is the same as union.

Let $S$ be a set, then $[P(S),$ subset$]$ is a boolean lattice, in which $LUB$ is the same as union, and $GLB$ is the same as intersection.