I believe the nazgul kept the rings. There is no reason for them not to have kept them. I believe, the rings gave them the power to walk the shadow realm in daylight and many other powers. It would of been nice if LOTR showed the ring being dropped after eliminating a ring wraith, or maybe see it crumble to dust etc

Not sure why people can't enjoy the series(rings of power) for what it is and constantly having to bash and hate on things they haven't enjoyed without pointing out the good as well. Yes it has some quirks but it actually feels like lord of the Rings and that's what count in my opinion. I'm actually enjoying so for, but I am having a hard time understanding the reason for this pure hate. Don't get me wrong I respect everyone opinion, but I think people are taking it way out of context.