I'm relatively new to C# programming and some days ago, I came across the term `mutex`. It was used in the sense of avoiding running multiple instances of the same application. I was actually reading a book on WPF (using C#, of course) so there was no deep explanation on C# (the author wrote it for people with sufficient knowledge of C#).  

It was used in this form:

```
Mutex mutex;
// ...

// Check for existing instance
string mutexName = "MyCompanyName.MyAppName";
bool createdNew;
mutex = new Mutex(true, mutexName, out createdNew);

// If there is an existing instance, shut down this one
if(!createdNew) { Shutdown(); }

```

My explanation of a mutex is that it is sort of a system-wide type. All single-instance applications access all mutexes in a system to prevent multiple instances. Also. a mutex should have a unique `name`. (Of course, I stand to be corrected; that's my own explanation so it could be wrong).

Suppose there happens to be a mutex named `"mutexConflict"` created by an application A while another application B (which was created by a completely different author) has its own mutex also named `"mutexConflict"`. If A is already running and B is about to be run, isn't there supposed to be a conflict? Will B run?