This name is a synonym of Alternanthera ficoidea (L.) Sm..
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: Lehrb. Anat. Physiol. Gew. 2: 259 1859.
This name was in version 1 of The Plant List, record kew-2631146.