Abstract: The device for connecting bearing rings with ring-shaped grooves is machined into the peripheral surfaces. An essentially sleeve-shaped connecting element engages in these grooves, where flange-shaped retaining projections on the connecting element cooperate with conical clamping surfaces of the ring-shaped grooves, which are characterized by ring-shaped grooves formed in the ring-shaped undercut. These grooves have positive-locking surfaces oriented toward its interior and snap-lock elements are arranged in a ring on the retaining projections to grip behind the positive-locking surfaces.