Mammillaria glochidiata Mart. in Nova Acta Acad. Caes. Leop.-Carol. German. Nat. Cur. 16: 337. 1832 sec. Hunt 2016
- =Cactus glochidiatus (Mart.) Kuntze, Rev. Gen. Pl. 1: 260. 1891 syn. sec. Guzmán & al. 2003
- =Neomammillaria glochidiata (Mart.) Britton & Rose, Cactaceae (Britton & Rose) 4: 149. 1923 syn. sec. Guzmán & al. 2003
- =Chilita glochidiata (Mart.) Orcutt, Cactography 2. 1926 syn. sec. Guzmán & al. 2003
- =Mammillaria glochidiata var. xiloensis Repp., Gatt. Mammillaria: 40. 1987 syn. sec. Guzmán & al. 2003