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Ameri, Reza, Asadi, Ameneh. (1398). Direct Limit of Krasner (m, n)-Hyperrings. , 31(1), 75-83. doi: 10.22059/jsciences.2020.282723.1007418
Reza Ameri; Ameneh Asadi. "Direct Limit of Krasner (m, n)-Hyperrings". , 31, 1, 1398, 75-83. doi: 10.22059/jsciences.2020.282723.1007418
Ameri, Reza, Asadi, Ameneh. (1398). 'Direct Limit of Krasner (m, n)-Hyperrings', , 31(1), pp. 75-83. doi: 10.22059/jsciences.2020.282723.1007418
Ameri, Reza, Asadi, Ameneh. Direct Limit of Krasner (m, n)-Hyperrings. , 1398; 31(1): 75-83. doi: 10.22059/jsciences.2020.282723.1007418

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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