You're not trying something out of Lord Of The Rings, are you? :-)Sounds like this would be a good project for RF heating. You'd need a radio transmitter, and a small coil adjacent to where the ring is to be. The transmitter causes an RF field in the coil which is picked up by the ring, and eddy current heating within the ring will cause it to heat up.When RF is used to heat metal objects it's more usually called Induction Heating and there is a good Wikipedia article on it. They give an example of heating a 25mm bar using 15 kW of RF, but you'd probably get away with 20-50W for a small ring, which you could get from a surplus transmitter which should not be expensive.I have no idea of the coil size you would need - it would certainly depend on the frequency and maybe on other factors. Google "RF heating of metals" or "Induction heating" and you'd certainly get much more information. I found a DIY project here which might be a good starting point. Good luck, and have fun!