In this paper, we show that every weakly a uniform topology (weakly algebraic ideal topology, algebraic ideal of an effect algebra E induces for short) with which E is a first-countable, zero-dimensional, disconnected, locally compact and completely regular topological space, and the operation + of effect algebras is continuous with respect to these topologies. In addition, we prove that the operation - of effect algebras and the operations A and V of lattice effect algebras are continuous with respect to the weakly algebraic ideal topology generated by a Riesz ideal.