My understanding is that there were 3 Elven Rings of Power, made without the help of Sauron and thus untainted, worn at the time of the War by Gandalf, Gladriel, and Elrond.
The Nine Rings of Men were worn by the Ringwraiths, and were destroyed with the destruction of the One Ring.
What happened to the Seven Rings of the Dwarf Lords? Were these tainted by Sauron? Were they perhaps made with his assistance, but not as completely as the Rings of Men, and thus might they retain some power after his destruction?