A non-volatile, resistively switching memory cell includes a first electrode, a second electrode and a solid electrolyte, which is arranged such that it makes contact between the electrodes, and is composed of an amorphous or partially amorphous, non-oxidic matrix and a metal which is distributed in the amorphous or partially amorphous, non-oxidic matrix and whose cations migrate to the cathode in the amorphous or partially amorphous, non-oxidic matrix under the influence of an electrical voltage, wherein the solid electrolyte contains one or more further metallic materials for stabilization of the amorphous state of the matrix.