A rotary electric machine includes an electronic module and a heat sink for dissipating heat produced by the module. The module includes a printed circuit, an electronic component having a base positioned on the printed circuit, a heat transfer device connected to the printed circuit and to the electronic component for transferring heat generated by the component to the heat sink. The heat transfer device includes an upper portion extending from the printed circuit towards the heat sink from the same side of the component and a base portion connected to the upper portion and positioned in the printed circuit at least partly under the component to form, at least partly, a preferential path for the heat, from the base of the electronic component to the heat sink. The electronic component is connected at least partly by its own base to the base portion of the heat transfer device.