“…In the same period, the theory of hyperrings enriched itself with different types of hyperrings, having only one or both between addition and multiplication as hyperoperation (for example: additive hyperring [29], multiplicative hyperring [27], superring [22], hyperring in the general case [4,29]), or substituting the distributivity with the weak distributivity [29] (when the equality is replaced by non void intersection between the left and right side), or with the inclusive distributivity [12,16] (when the equality symbol is substituted by the inclusion one). A detailed discussion of this terminology is included in [13,14,24]. Even if the term "inclusive distributivity" is the most appropriate one for defining this property, it was used only in few papers, while " the weak distributivity" was preferred for the same type of distributivity.…”