Interval topology of lattice effect algebras

Let (E,⊥,⊕,0,1) be a lattice effect algebra and τi its interval topology. In this work we show that if the operation ⊕ is continuous with respect to τi, then τi is Hausdorff. In addition, we also show that if (E,⊥,⊕,0,1) is a complete MV-effect algebra and τi is a Hausdorff topology, then the operations ⊕, ⊖, ∨ and ∧ are τi continuous.