TY - JOUR ID - 35641 TI - On Isomorphism Theorems of Fn -Polygroups JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 AU - Davvaz, B. AD - Department of Pure Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran Y1 - 2013 PY - 2013 VL - 24 IS - 3 SP - 259 EP - 267 KW - Hyperstructure KW - Fuzzy set KW - Fn -Hyperoperation KW - Fn -Polygroup KW - Regular and strongly regular relations DO - N2 - 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 normalĀ  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. UR - https://jsciences.ut.ac.ir/article_35641.html L1 - https://jsciences.ut.ac.ir/article_35641_5c578a0ec6bfd1ad6d951075ade3595a.pdf ER -