Four categories, power molecular lattice category,L-base power molecular lattice
category, power topological molecular lattice category andL-base power topological molecular lattice
category, were defined. The relations between power molecular lattice and molecular lattice
categories,L-base power molecular lattice and power molecular lattice categories, power topological
molecular lattice and topological molecular lattice categories, andL-base power topological molecular
lattice and power topological molecular lattice categories were discussed. It was proved that a -
product of power molecular lattices is the product in power molecular lattice category, a product of
L-base power molecular lattices is the product inL-base power molecular lattice category, a -
product of power topological molecular lattices is the product in power topological molecular lattice
category, and a product ofL-base power topological molecular lattices is the product inL-base
power topological molecular lattice category