Systems of beam injection from the Booster and fast beam extraction for injection into the collider will be developed in order for the Nuclotron to operate in the framework of the NICA accelerator complex. All systems are based on the Lambertson magnets. The shortened superconducting loop is used for compensating scattered fields in the circulating beam chamber. The finite weld resistance (on an order of several nΩ) results in gradual current storage in the loop, which influences the beam upon injection. To eliminate this effect, a heater for converting the loop into the normal conducting state in the pause between cycles is applied.