An electrical machine includes a stator, a rotor magnetically interacting with the stator, a shaft supported on the stator for rotation in a first direction of rotation and in a second direction of rotation which is opposite to the first direction of rotation, wherein the rotor is arranged on the shaft, a first axial fan mounted on the shaft on a side of the rotor for co-rotation with the shaft in the first direction of rotation and having freewheeling capability on the shaft in the second direction of rotation, and a second axial fan mounted on the shaft on the same side of the rotor as the first axial shaft for co-rotation with the shaft in the second direction of rotation and having freewheeling capability on the shaft in the first direction of rotation.