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DIRECT SYSTEM AND DIRECT LIMIT OF v H -MODULES | ||
| Iranian Journal of Science | ||
| مقاله 8، دوره 28، شماره 2، اسفند 2004، صفحه 267-275 اصل مقاله (245.02 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2004.2876 | ||
| نویسندگان | ||
| M. GHADIRI* ؛ B. DAVVAZ | ||
| Department of Mathematics, Yazd University, Yazd, I. R. of Iran | ||
| 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 relationε * , and then prove some of the results about the connection between the fundamental modules, direct systems and direct limits. | ||
| کلیدواژهها | ||
| H -ring؛ v H -module؛ direct system؛ direct limit؛ fundamental relation؛ fundamental module | ||
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