Named after Antonio Abetti - Italian astronomer (1846-1928) and Giorgio Abetti - Italian astronomer (1882-1982).
Abetti is a lunar crater that has been completely submerged by mare lavas. Abetti is located near the southeast edge of Mare Serenitatis, to the west of the Mons Argaeus. This crater is generally visible only at low angles of illumination. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.