The phenomenon of repeated pen names is definitely not infringing. In reality, so many repeated names, not to mention pen names, depend on behavior. If someone's pen name can specifically point to a famous person, such as Nanpai's uncle is the pen name of Xu Lei, the author of grave robbers' notes, and you deliberately use the same pen name to publish a novel, it is definitely infringing on the other person's name right. The other party can ask you to apologize, stop the infringement and compensate all the losses when it finds the infringement.