A primary part of an electrical induction machine, especially a synchronous motor or a linear motor, includes a plurality of modules which each have teeth situated in a row having at least partially encircling slots, in the slot of each tooth a coil is wound around this tooth, and the coils of a single module are connected to a single phase of a rotary current network. The number of modules in the primary part is equal to the number of current phases or an integral multiple thereof. A single module includes an uneven number of teeth but at least three teeth, and teeth directly adjacent to one another of a single module include coils that have an opposite winding direction, which generates an opposite magnetic field polarity at the teeth. An electrical induction machine, especially a synchronous motor or a linear motor, includes a primary part and a secondary part, working together with the primary part via an air gap, which may have permanent magnets as rotor magnets.