Yes, you can invite her to visit China, please send her an invitation letter with your signature and the stamp of your university, she can apply for tourist visa for family visit, however, this kind of visa permit her stay in China for 3 months at most. You'd better send the copy of your passport and the temporary residence permit to her and ask her to apply for student visa as your accompany. Then she can stay in China for 6 months or 1 year.