A direct-current rotating electrical machine, in particular for a motor vehicle starter. The machine includes a stator comprising a magnetized structure with permanent magnetization, extending along a circumference of the stator, a rotor, and a group of brushes arranged to allow the electrical supply of the rotor by switching the electrical current in sections of the rotor. The magnetized structure of the machine includes a plurality of main magnets and a plurality of auxiliary magnets, each arranged between two main magnets. The auxiliary magnets have a smaller angular extent and/or radial thickness than the main magnets. The magnetization vector in at least one of the main and auxiliary magnets varies continuously or in steps, at least locally taking a direction other than radial and orthoradial directions.