You can use the term MDG; no need for MDGMDM.
Any way, what you are asking for is the "MDG deployment option." MDG can be deployed as a hub (separate server) or can be co-deployed (ECC upgraded and MDG installed on the same instance). This is one of the first decision that have to be made and there are many discussions on SCN. Please do some research. Here is something to help you start: MDG HUB or Co-deployment question.