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On Isomorphism Theorems of Fn -Polygroups | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 6، دوره 24، شماره 3، آذر 2013، صفحه 259-267 اصل مقاله (596.04 K) | ||
نوع مقاله: Original Paper | ||
نویسنده | ||
B. Davvaz* | ||
Department of Pure Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran | ||
چکیده | ||
In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups provided that the F-subpolygroups considered in them are normal. | ||
کلیدواژهها | ||
Hyperstructure؛ Fuzzy set؛ Fn -Hyperoperation؛ Fn -Polygroup؛ Regular and strongly regular relations | ||
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