Résumé
We study finite test-sets for overlap-freeness of morphisms from a free monoid A* into another B*. When card(A) = card(B) = 2, Berstel and Séébold have shown that such a finite test-set exists, and, Richomme and Séébold have characterized all of them. For other values of card(A) and card(B), we show whether or not exist such finite test-sets, and in the former case we characterize all of them. We also do this when considering uniform morphisms for all values of card(A) and card(B).