Deleting Zero Byte Executables

Recently I came up with a problem when someone would create a new text file, rename it to an exe and run it.

Of course, it wouldn't do anything but it would become annoying since it can't seemto be modified/removed even after a reboot. I remember using Norton's to quarenteen it and delete it a while back, but I was wondering if there was a way to use the op system that created them in removing them.