Some Results on Categries of Krasner Hypermodules

A Krasner hypermodule A over a K rasner hyperring R is a canonical hypergroup (A, +) TOGETHER WITH A EXTERNAL MAPPING *: R*A→A that maps an element (r,a) to r*a€A. In this regards we consider the category of hypermodules, R Hmod, which its objects are R-hypermodules and for objects C and D, a morphism from C to D is a with multi-valued R-homomorphism. Also, we study some subcategories of R Hmod such as R hmod, Also, we investigate some basic properties of the category R Hmod

Keywords:

Category , Krasner hyperring , Krasner Hypermodule , R-homomorphism , Rmv-homomorphism