Special Elements on P-hopes and ?-hopes

摘要

H_v-structures are hyperstructures where the equality is replaced by the nonempty intersection. Therefore, this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined in the classical hypergroup theory. In the present paper we focus on the large classes of P-hyperstructures and ?-hyperstructures. We introduce and study a property on inverse elements.