A wheel of a turbine engine such as an airplane turbojet is disclosed. The wheel includes a disk having blades and at least one ring of a metal matrix composite material mounted on the disk in order to take up centrifugal forces during operation. The wheel further includes at least one annular flange formed by sections arranged end-to-end and each including a radially internal annular portion applied on a flank of the disk and a radially external portion coming into contact with the ring in order to ensure the axial holding of the latter on the disk, and a device for radially holding flange sections on the disk.