The invention relates to a rotor for an electrical machine, specially a transversal flow machine, having at least one pole structure. The pole structure encompasses two adjacent rows of magnet arrangements which are alternatively magnetized in the peripheral direction. The rows are separated by an intermediate layer made of magnetically and electrically non-conductive material (intermediate ring). The magnet arrangements having of inter-lying collector and soft iron elements. The magnet arrangements interlock with adjacent collector or soft iron elements in the peripheral direction. The collector or soft magnet elements are at least partially provided with an insulating layer. The invention is characterized in that at least one of the collector or soft iron elements that is adjacent in the periphery of the magnet arrangement is devoid of a radially external stop providing at least indirect support for the magnet arrangements in radial direction.