Vapoor explained it perfectly. Most chargers SHOULD stop charging a battery once its full, or switch to a trickle charge, but it is possible for the chip to fail. Most stories you hear about
batteries exploding or catching fire is bc the chip in the charger failed and continued to charge a battery that is already full. Once the light stays to a solid green color, its fully charged. I dont recommend leaving it plugged in on the charger for extended periods of time once the light turns green. Its better to be safe than sorry, and it will help the battery last longer.
What PV are you using? I also recommend not letting your batteries drain all the way. Throw them back on the charger when they have about 25% left. It will ensure the batteries arnt over-discharged and they will last longer