A rotating electric machine (1) having a stator (4) in a housing (2) and a rotor (10) supported by a shaft (6). The housing (2) circumferential wall (12) and first and second axially opposing end walls (14, 16) support bearing flanges with bearings (18) for the shaft (6). Two cooling fan impellers (20, 22) are connected to the shaft (6). An inner cooling fan impeller (20) positioned inside the housing (2) generates an inner cooling air circuit (A) inside the housing (2). An outer cooling fan impeller (22) provided outside the housing (2), generates an outer cooling air flow (B). The first end wall (14) is formed with a thermal conductivity of at least a specified value and has an outer cooling rib geometry (28) on its outer side facing the outer cooling fan impeller (22), and an inner cooling rib geometry (30) on its opposing inner side.