Some properties of morphisms of RG.mod as an i1− PSHA category

Algebraic hyperstructures are algebraic systems whose objects equipped with the hyperoperations or multivalued operations. In a paper entitled ”Pre-semihyperadditive Categories” we introduced pre-semihyperadditive categories as the categories in which for objects A and B, the class of all morphisms from A to B denoted by Mor(A, B), admits an algebraic hyperstructure, such as semihypergroup or hypergroup. Moreover, we constructed some categories formed by the (general Krasner) hypermodules. In this paper we present some properties related to the morphisms of a category of (general Krasner) hypermodules denoted by RG.mod.