'Successors' in the Bible

After this I kept looking, and behold, another one (the Greek Empire of Alexander the Great), like a leopard, which had on its back four wings like those of a bird; the beast also had four heads (Alexander’s generals, his successors), and power to rule was given to it.

However, after he has come to power, his kingdom will be broken and parceled out in all directions. It won't go to his succeeding descendants, nor will its power match how he ruled, because his sovereignty will be uprooted and given to successors besides them.