The rename operation in a database management system changes the name of an existing object, such as a table. The process starts by identifying the object to rename and verifying that the new name is valid and not already used by another object. Once these checks pass, the system executes the rename command, updating the system catalog to reflect the new name. The operation ends by confirming the rename was successful. This operation does not affect the data inside the object, only its identifier. If the new name conflicts with an existing object, the rename is not performed to avoid confusion and errors.