Named after Augustus Morgan - British mathematician (1806-1871).
De Morgan is a small lunar impact crater that is located in the central region , mid-way. This crater is circular and bowl-shaped, with a small interior floor at the midpoint between the conical, sloping inner wall. (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.