Mammillaria baumii Boed. in Z. Sukkulentenk. 2: 238. 1926 sec. Hunt 2016
- =Mammillaria radiaissima G.E. Linds. ex R.T. Craig, Mammillaria Handb.: 292. 1945 syn. sec. Guzmán & al. 2003
- =Dolichothele baumii (Boed.) Werderm. & Buxb. in Oesterr. Bot. Z. 98: 508. 1951 syn. sec. Guzmán & al. 2003