%0 Journal Article %T DIRECT SYSTEM AND DIRECT LIMIT OF v H -MODULES %J Iranian Journal of Science %I Springer %Z 2731-8095 %A GHADIRI, M. %A DAVVAZ, B. %D 2004 %\ 12/26/2004 %V 28 %N 2 %P 267-275 %! DIRECT SYSTEM AND DIRECT LIMIT OF v H -MODULES %K H -ring %K v H -module %K direct system %K direct limit %K fundamental relation %K fundamental module %R 10.22099/ijsts.2004.2876 %X 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. %U https://ijsts.shirazu.ac.ir/article_2876_94edaedce6187b8b1a0698546845c448.pdf