direct system and direct limit of v h -modules

the largest class of algebraic hyper structures satisfying the module like axioms is the v h -module. in this paper, we consider the category of v h -modules and prove that the direct limit alwaysexists in this category. direct limits are defined by a universal property, and so are unique. the mostpowerful tool in order to obtain a module from a given v h - module is the quotient out procedure. to usethis method we consider the fundamental equivalence relationε * , and then prove some of the resultsabout the connection between the fundamental modules, direct systems and direct limits.