Renaming a process with change its name in the process library.
Duplicating a process will copy the process to the library. It is possible for a user to duplicating a process in which they do not have administrator access.
Processes can be renamed or duplicated from Design mode by clicking on the drop down menu in the upper left corner of the screen. Processes can be edited from the process library by right clicking on the process, or by click the "..." to the far right of the process name.