DIRECT SYSTEM AND DIRECT LIMIT OF vH - MODULES
نویسنده
چکیده
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 relation * ε , and then prove some of the results about the connection between the fundamental modules, direct systems and direct limits.
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