Decomposition and control theorems in effect algebras

Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which makes ⊖ and ⊕ uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete effect algebra associated to L. As a consequence, we obtain decomposition theorems - such as Lebesgue and Hewitt-Yosida decompositions - and control theorems - such as Bartle-Dunford-Schwartz and Rybakov theorems - for modular measures on L