Johann Bayer invented the system for naming stars in a constellation using a Greek letter + the Latin possessive form of the constellation. Before that, the stars in a star atlas tended not to have designations, just descriptions of where they were in the constellation. Bayer invented this system over four hundred years ago.
Today people still commonly use Bayer's names, but there are also other names - many of them from Arabic - for the brighter ones. But we aren't consistent. For example, the brightest star as seen from Earth is Sirius. I rarely see it called Alpha Canis Majoris. But what about the third brightest star, Rigil Kentaurus? You're more likely to know it as Alpha Centauri.