Assuming the Adobe ID is the same, the book should be readable on any other device or computer.
But be warned, that some apps use their own account information, and link that to a custom Adobe ID generated by their system.
I haven't really used ADE-enabled Android apps much, so I cannot be sure. But ISTR that the OverDrive app does exactly that, and it is possible Aldiko does the same. Double-check to make sure.