We prove that every modular function on a multilattice with values in a topological Abelian group generates a uniformity on which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of .
We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.
We prove a Hahn decomposition theorem for modular measures on pseudo-D-lattices. As a consequence, we obtain a Uhl type theorem and a Kadets type theorem concerning compactness and convexity of the closure of the range.
We investigate the existence of a Caratheodory type extension for modular measures defined on lattice-ordered effect algebras.
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