I am wondering what's the technical definition in Papyrus for the "name" of the instance you're checking on.

I mean the "label" which is used in-game to recognize the object or the actor.

Moreover I am wondering if anyone has already understood how this could be changed in-game through Papyrus,
since in Oblivion this was quite easy, at least for actors, even just through console (SetActorFullName), but now I
cannot find any console command or variable which works like that...

Please, anyone has any hint about this?

Thanks,
Jashkar

The only reference to names and other properties like it that I've seen is in the http://www.creationkit.com/Text_Replacement documentation. It lists a bunch of alias properties that are exposed to quest text fields. Whether they're also exposed to scripts, I don't know.