The h/v-structures

Abstract

The main tools in the theory of hyperstructures are the fundamental relations. These relations, on the one hand, connect the hyperstructure theory, with the corresponding classical one, and on the other hand, introduce new important classes. Here we deal with a generalization of H_v -structures called h/v-structures which keep the same weak axioms as in H_v -structures in addition with a kind of reproductivity on class which is a generalization of the usual reproductivity.

Keywords:

• Hyperstructures
• H_v-structures