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We present some convergence and boundedness theorems with respect to filter convergence for lattice group-valued measures. We give a direct proof, based on the sliding hump argument. Furthermore we pose some open problems.

Nikod&#253;m-Type Theorems for Lattice Group-Valued Measures with Respect to Filter Convergence

Nikodým-Type Theorems for Lattice Group-Valued Measures with Respect to Filter Convergence