2 research outputs found
Pivotal decomposition schemes inducing clones of operations
We study pivotal decomposition schemes and investigate classes of pivotally decomposable operations.
We provide sufficient conditions on pivotal operations that
guarantee that the corresponding classes of pivotally decomposable operations are clones, and show that under certain assumptions
these conditions are also necessary. In the latter case, the pivotal operation together with the constant operations generate the corresponding clone
Clones of Pivotally Decomposable Functions
This paper is a contribution to the understanding of the relation between pivotal decompositions of operations on a set and clones on the same set