A glenoid prosthesis includes a bearing, the lateral side of which defines a concave bearing surface, and a carrier shell, the medial side of which comprises anchoring elements, wherein the medial side is generally flat. The prosthesis may be implanted in an anterior-posterior (A-P) by forming bores in the scapula in the A-P direction, wherein the anchoring elements extend into the bores. The scapula may be proceed to have a generally flat surface to correspond with the flat surface at the medial side of the prosthesis.