This name is a synonym of Frailea pygmaea (Speg.) Britton & Rose.
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: Anales Mus. Nac. Buenos Aires 11: 497 1905.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:132107-1.
This name was in version 1 of The Plant List, record kew-2782201.