  In this paper, the following results are proved: (1) $ $ If $E$ is a complete
atomic lattice effect algebra, then $E$ is (o)-continuous iff $E$ is
order-topological iff $E$ is totally order-disconnected iff $E$ is algebraic.
(2) $ $ If $E$ is a complete atomic distributive lattice effect algebra, then
its Frink ideal topology $\tau_{id}$ is Hausdorff topology and $\tau_{id}$ is
finer than its order topology $\tau_{o}$, and $\tau_{id}=\tau_o$ iff 1 is
finite iff every element of $E$ is finite iff $\tau_{id}$ and $\tau_o$ are both
discrete topologies. (3) $ $ If $E$ is a complete (o)-continuous lattice effect
algebra and the operation $\oplus$ is order topology $\tau_o$ continuous, then
its order topology $\tau_{o}$ is Hausdorff topology. (4) $ $ If $E$ is a
(o)-continuous complete atomic lattice effect algebra, then $\oplus$ is order
topology continuous.
