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Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular measures and conversely. A number of such relationships are investigated and applications given to topological lattices in a topological space.doi:10.1155/s016117129100039x fatcat:xe6eqhpc5zcwrlwxoocmn4i4wq