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Direct Limit of Krasner (m, n)-Hyperrings | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 9، دوره 31، شماره 1، خرداد 2020، صفحه 75-83 اصل مقاله (449.61 K) | ||
| نوع مقاله: Original Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jsciences.2020.282723.1007418 | ||
| نویسندگان | ||
| Reza Ameri* 1؛ Ameneh Asadi2 | ||
| 1Department of Mathematics, Faculty of Mathematics, University of Tehran | ||
| 2Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| چکیده | ||
| The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings. Also, we consider fundamental relation , as the smallest equivalence relation on an (m, n)-hyperring R such that the quotient space is an (m, n)-ring, to introduce the fundamental functor from category of Krasner (m, n)-hyperrings to the category of (m, n)-rings. Finally, we study the relationship between fundamental functor and direct limit on Krasner (m, n)-hyperrings. In particular, we prove that the fundamental functor is exact and obtain some its basic properties. | ||
| کلیدواژه‌ها | ||
| Krasner -hyperrings؛ Direct system؛ Fundamental functor؛ Direct limit | ||
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آمار تعداد مشاهده مقاله: 535 تعداد دریافت فایل اصل مقاله: 274 |
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