Abstract: The set comprises:at least one prismatic calcinable post (1) intended to be fastened to a crown and having at its base a support arm (2) and a cylindrical socket (3) arranged at the end of the support arm in a position parallel to the post,calcinable connecting parts (19) intended to be integrated in the prosthesis,fastening members (11, 12) for fastening the connecting parts on the prismatic post.The post (1) and its socket (3) in offset position constitute an extracoronary universal socket element which is easily adjustable, combined with the modular nature of the connecting parts of the set permit the mounting of several types of different attachments with a minimum number of units attachable on one and the same post.