The invention relates to a rotor for an electric machine, specifically a transverse flow machine, comprising at least one support disk and at least one annular pole structure arranged on an end face of the support disk, coaxial to the rotor axis, and extending in axial direction. The pole structure comprises two adjacent rows, separated by an intermediate layer of magnetically and electrically nonconducting material (spacer ring), of the peripheral direction alternately magnetized magnet arrays with interposed collector or soft-iron elements. An end ring is coordinated with each pole structure. A plurality of magnet arrays features an inner and an outer magnet. The design of the collector or soft-iron elements adjoining a magnet array in the peripheral direction is such that they form in radial direction an inner stop and an outer stop for the magnet array.The invention is characterized in that an intermediate element is coordinated with a plurality of magnet arrays. The intermediate element is in a radial direction arranged between the inner and the outer magnet and extends beyond their axial length. The intermediate element is suited for insertion in mating grooves in the rings end ring, spacer ring and central support disk--adjoining the separate rows, of in peripheral direction having alternately magnetized magnet arrays with interposed collector or soft-iron elements.