Named after Joffe, Abram Feodorovich Ioffe - Soviet physicist (1880-1960).
Ioffe is a lunar impact crater on the far side. It lies to the south of the walled plain Hertzsprung, and is attached to the southwestern outer rim of Fridman. Only a short stretch of terrain separates Ioffe from Belopol'skiy to the southeast. This is a youthful crater, with a well-defined outer rim and a terraced 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.