If you want to check whether the implementation of the android library project is correct, we have to compile it and check.As above mentioned, we can't run android library projects. So we have to find a way to compile the library module.For that we can add the newly implemented library module to a non library module as follows.
In here "mylibrary" is the library module which I'm going to use in the "app" module.In my library module there are aidl files. so to work the app finely the aidl files also should compile.We can add dependency for app module as follows,
go to File->Project Sturcture->app->Dependencies-> + ->mylibrary->ok
Now we can run the app by just clicking "Sync project with gradle files"(In tool bar 21st icon from the left-icon with an arrow and a circle ) button.
Thats all :)