Brake system for a motorcycle, having: a hydraulic brake device having at least one first master brake cylinder, and at least one first wheel brake cylinder which at least by way of a first brake circuit is hydraulically connected, or able to be connected, to the first master brake cylinder, and is able to be assigned to at least one first wheel in such a manner that the at least one first wheel is able to be decelerated by means of the at least one first wheel brake cylinder; an electric motor which is able to be assigned to at least one second wheel in such a manner that at least the second wheel is able to be decelerated by means of the electric motor, wherein the electric motor is able to be assigned to at least one wheel without a wheel brake cylinder as the at least one second wheel; and a control device which is conceived in such a manner that by means of the control device a nominal generator brake torque variable is able to be established while taking into account a determined or provided nominal total brake torque variable in terms of a nominal total brake torque that is predefined by means of activating a brake activation element (16, 64) by a driver and is to be exerted at least on the at least one first wheel and the at least one second wheel, and a determined, predefined or estimated hydraulic brake torque variable in terms of a hydraulic brake torque of the at least one first wheel brake cylinder on the at least one first wheel, wherein by means of the control device an electric-motor control signal by way of which the electric motor is able to be actuated in such a manner that a generator brake torque that corresponds to the nominal generator brake torque variable is able to be exerted at least on the second wheel is also able to be emitted to the electric motor; characterized in that the nominal generator brake torque variable by means of the control device is able to be established, and the electric motor by means of the control device is able to be actuated, such that the generator brake torque corresponds to a difference between the nominal total brake torque and the hydraulic brake torque. a hydraulic brake device having at least one first master brake cylinder, and at least one first wheel brake cylinder which at least by way of a first brake circuit is hydraulically connected, or able to be connected, to the first master brake cylinder, and is able to be assigned to at least one first wheel in such a manner that the at least one first wheel is able to be decelerated by means of the at least one first wheel brake cylinder; an electric motor which is able to be assigned to at least one second wheel in such a manner that at least the second wheel is able to be decelerated by means of the electric motor, wherein the electric motor is able to be assigned to at least one wheel without a wheel brake cylinder as the at least one second wheel; and a control device which is conceived in such a manner that by means of the control device a nominal generator brake torque variable is able to be established while taking into account a determined or provided nominal total brake torque variable in terms of a nominal total brake torque that is predefined by means of activating a brake activation element (16, 64) by a driver and is to be exerted at least on the at least one first wheel and the at least one second wheel, and a determined, predefined or estimated hydraulic brake torque variable in terms of a hydraulic brake torque of the at least one first wheel brake cylinder on the at least one first wheel, wherein by means of the control device an electric-motor control signal by way of which the electric motor is able to be actuated in such a manner that a generator brake torque that corresponds to the nominal generator brake torque variable is able to be exerted at least on the second wheel is also able to be emitted to the electric motor; characterized in that the nominal generator brake torque variable by means of the control device is able to be established, and the electric motor by means of the control device is able to be actuated, such that the generator brake torque corresponds to a difference between the nominal total brake torque and the hydraulic brake torque.