A rectifier module for an active bridge rectifier having two switching elements, connected in series between two end terminals, and between which a center tap is formed, and a control circuit including a monitoring unit, a synchronization unit, and a control unit, the monitoring unit detecting a measuring voltage and outputting a request signal when the measuring voltage exceeds an upper threshold value. The synchronization unit outputs a synchronization signal to a synchronization terminal as long as the monitoring unit outputs the request signal, and otherwise to monitor the synchronization terminal for a synchronization signal. The control unit switches one of the two switching elements into a conductive state at least in sections during an activation period of time, when the monitoring unit outputs the request signal and/or when the synchronization signal is detected and is optionally recognized as valid by the monitoring. Also described is an active bridge rectifier including corresponding rectifier modules, a generator array including such a bridge rectifier, a corresponding motor vehicle electrical system, an operating method, and an arrangement for the method.