Glenoid implant for a shoulder prosthesis, and set for assembling such a glenoid implant

The glenoid implant comprises a baseplate, an articular component which has a convex articular surface, and a platform which is provided both to be secured to the articular component by a first attachment and to be secured to the baseplate by a second attachment, the first attachment being independent from the second attachment and defining an assembly axis along which the platform and the articular component are assembled together. The first attachment comprises both a translational connection that is intraoperatively operable to prevent translation between the platform and the articular component along the assembly axis, and a rotational connection that is intraoperatively operable to prevent rotation between the platform and the articular component around the assembly axis, the translational connection and the rotational connection being distinct from each other. The glenoid implant allows assembling the platform indifferently with one of various articular components which differ from each other for example by their material composition and/or by some geometric features of their convex articular surface and/or etc. The articular component that is effectively assembled with the platform can be chosen by the surgeon during surgery, i.e. during an implantation operation or just before the latter.