What is a Successor? Definition and meaning
In project management the tasks of a project are identified and represented using a process plan (e.g. network diagram). This shows the logical relationship of the individual tasks within a project. The successor is accordingly a task that can only start once its predecessors have been completed. This does not refer to the chronological order.

Successor vs business succession: which one is meant
In everyday language a successor is a person who takes over from another, for example in a business succession, in an office or in a position. In project management and in projectfacts, however, a successor means a task that only starts once its predecessors have been completed. It is therefore about the logical dependency of tasks, not about people.