Some Generalizations Of Recursive Derivates of k-ary Operations

We present several results about recursive derivates of k-ary operations defined on finite set Q. They are generalizations of some binary cases given by Larionova-Cojocaru and Syrbu. Also, we present several experimental results about recursive differentiability of ternary quasigroups of order 4. We also prove that the multiplication group of k-ary quasigroups obtained by recursive differentiability of a given k-ary quasigroup (Q, f) is a subgroup of the multiplication group of the (Q, f).