On the number of Hv-rings with P-hyperoperations

  title={On the number of Hv-rings with P-hyperoperations},
  author={Stephanos Spartalis},
  journal={Discrete Mathematics},
The largest class of multivalued systems satisfying the ring-like axioms is the Hv-ring. In this paper we study a wide class of Hv-rings resulting from an arbitrary ring by using the P-hyperoperations. We reduce the number of those structures by using isomorphisms derived by translations with respect to the multiplication.