Yes, the DME is the "Digital Motor Electronics".
Most cars also have a DME relay that powers up the DME or ECU or ECM depnding on your terminology lingo. DME relay or module.
IF you are getting a code for this relay perhaps you should try swapping it out with a new one. Or one from a friends car.
Btw... Google is your friend!
What Is a DME Relay? --->
http://www.ehow.com/about_4691046_what-dme-relay.html