Аннотация:The implicatively implicit extensions of all 27 single functions of three-valued logic are characterized. It is established that among them there are both extensions that coincide with the known implicatively closed classes, and extensions that are not closed with respect to the superposition operation. In addition, it is shown that for any k > 2, any implicatively implicit extension in P_k contains the class H_k of all homogeneous functions from P_k.