A rotating electrical machine includes a rotation shaft rotatably installed in a bearing that includes a portion secured onto the shaft and a portion removably attached to a supporting surface connected to a casing. The supporting surface includes an axial abutment for the bearing and a passageway traversed by the shaft. A resolver of the machine includes a resolver stator connected to the casing, and a resolver rotor having a diameter less than that of the passageway. The resolver rotor is attached to the shaft on an opposite side of a drive rotor relative to the bearing. A longitudinal position of parts installed on the shaft is determined such that, during installation, a transverse face of the bearing reaches an entrance of a cavity of the resolver stator before a transverse end of an external radial wall of the resolver rotor of the resolver reaches the entrance of the cavity.