Hogg is a lunar crater. It lies less than a crater diameter to the south-southwest of the somewhat larger Kiddinu. This is an old, worn feature with an outer rim that has been eroded to the point where it just forms a rounded crest about the interior. Small craterlets lie along the southern and western rim. (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.