1. A method for monitoring a monitoring-target process, said method comprising: a monitored server computer starting a monitoring-target process; after said starting the monitoring-target process, said computer ascertaining a current operating state of the monitoring-target process, said ascertaining comprising utilizing a monitoring condition record included in a monitoring-condition registry, said monitoring-condition registry being a file or database stored in a data storage device in the computer, said monitoring condition record including monitoring conditions controlling implementation of the monitoring-target process, said monitoring condition record comprising a process label that uniquely identifies the monitoring-target process; and after said ascertaining the current operating state, said computer stopping the monitoring-target process, wherein said starting the monitoring-target process comprises: said computer determining the monitoring conditions controlling implementation of the monitoring-target process; after said determining the monitoring conditions, said computer generating the monitoring condition record that includes the monitoring conditions; after said generating the monitoring condition record, said computer storing the monitoring condition record in the monitoring-condition registry; after said storing the monitoring condition record, said computer notifying a monitoring server external to the monitored server computer that the monitoring condition record has been stored in the monitoring-condition registry, said monitoring server being another server computer; and after said storing the monitoring condition record, said computer logging in the computer a message stating that the monitoring condition record has been stored in the monitoring-condition registry; wherein said starting the monitoring-target process further comprises: before said determining the monitoring conditions, said computer searching the monitoring-condition registry for the monitoring condition record, said searching comprising using the process label as a search key for said searching; said computer determining from said searching that the monitoring condition record is stored in the monitoring-condition registry; and in response to said determining from said searching that the monitoring condition record is stored in the monitoring-condition registry, said computer deleting the monitoring condition record from the monitoring-condition registry.