Springer Iranian Journal of Science 2731-8095 28 2 2004 12 26 DIRECT SYSTEM AND DIRECT LIMIT OF v H -MODULES 267 275 2876 10.22099/ijsts.2004.2876 EN M. GHADIRI Department of Mathematics, Yazd University, Yazd, I. R. of Iran B. DAVVAZ Department of Mathematics, Yazd University, Yazd, I. R. of Iran Journal Article 2003 02 16 The largest class of algebraic hyper structures satisfying the module like axioms is the v H -<br />module. In this paper, we consider the category of v H -modules and prove that the direct limit always<br />exists in this category. Direct limits are defined by a universal property, and so are unique. The most<br />powerful tool in order to obtain a module from a given v H - module is the quotient out procedure. To use<br />this method we consider the fundamental equivalence relationĪµ * , and then prove some of the results<br />about the connection between the fundamental modules, direct systems and direct limits. H -ring v H -module direct system direct limit fundamental relation fundamental module https://ijsts.shirazu.ac.ir/article_2876_94edaedce6187b8b1a0698546845c448.pdf