Turbomachine with an integrated electrical generator

The turbojet has an axial compressor with a rear bearing disposed between a casing and a rotor. An electricity generator (60) acting as a generator-starter or as an auxiliary generator includes a stator that is secured to the casing. The electricity generator is disposed upstream from the rear bearing, and includes a cooling circuit that surrounds the stator, where the cooling circuit is placed in a lubrication circuit.