Perhaps or this set of trademarks could be related to an unannounced arcade game. Hello, AM2? Anyway, Sega trademarked three things in the US and Europe that appear to be linked: Ringedge, Ringwide, and a logo with rings.
All of these items are in a slightly different sector than your run of the mill video game trademark. They are for use with video game software, arcade game boards, stand alone video game machines, and arcade game machines with built-in screens. So, whatever these are they sound arcade related.
My first thought when I discovered these was the Sega Activator since it was a “ring”, but what was supposed to enhance fighting games ended up turning them into Para Para Paradise.
Images courtesy of Sega.