Index -> Appendix -> Stopped
As a result of a player's actions, a ready card can become stopped. A stopped card is no longer ready, and is unavailable for use through the rest of the turn. Its image will appear greyed out, with the stopped symbol on top of it. A card that is already stopped can't be stopped again.
You may use a card's game text even while it is stopped, unless it says otherwise.
Martouf's game text reads: "Each other character who has at least one glyph matching one of Martouf's gets skills +1." Other characters can still get skills +1 even while Martouf is stopped.
Transport Rings' game text reads: "Stop this gear, pay 3 power -- Ready a character." This is an activated ability, and stopping the gear is part of its cost. You can't stop a stopped card, so you can't use this while the Transport Rings is stopped.