Document Type: Regular Paper
Department of Mathematics, Yazd University, Yazd, I. R. of Iran
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 always
exists in this category. Direct limits are defined by a universal property, and so are unique. The most
powerful tool in order to obtain a module from a given v H - module is the quotient out procedure. To use
this method we consider the fundamental equivalence relationε * , and then prove some of the results
about the connection between the fundamental modules, direct systems and direct limits.