Since I'm confused with these two phrases, I did a search in Google Books hoping to find some examples. But then I found this paragraph:
Two private spaces or replicas cannot contain the same object with two distinct references. For example, during a disconnected phase, the pump can be present in two different private spaces and still be designated with the same name. During a meeting, two replicas use a same name to access the pump object(local or distant).
This made me more confused. I don't really understand why "the same name" was used in one sentence while "a same name" was used in another. Are there any differences between them?