Is a 9 MM luger bullet the same as 9 MM auto bullet?

Perhaps the most common 9mm CARTRIDGE is the 9mm Parabellum- commonly called the 9mm Luger. And it IS for an automatic pistol (and carbine and submachinegun). However, there are probably a dozen or more OTHER "9mm" cartridges- many fairly scarce- such as the 9mm Makarov, 9mm Browning Long, 9mm Kurz (the .380) etc. They are different and do not interchange.