No, it is not the same, although they are often confused.
The AGV (Automatic Guided Vehicle) is a robotic device capable of moving on predefined paths or routes, without the necessary autonomy to determine its own route or redefine it. In addition, they navigate relying on external elements such as magnetic tapes, magnets, beacons… so they must have a predetermined one to be effective.
The AMR (Autonomous Mobile Robot), on the other hand, performs free navigation without external elements, is capable of making decisions about the optimal routes at all times within the work environment and has the ability to avoid obstacles that are in its path.