TY - JOUR ID - 132757 TI - K-nilpotent groups based on hypergroups JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Mosayebi Dorcheh, A. AD - Department of Mathematics, Payame Noor University (PNU), Iran Y1 - 2021 PY - 2021 VL - 2 IS - 2 SP - 61 EP - 72 KW - Hypergroup KW - relation-part KW - $k$-nilpotent group DO - 10.52547/HATEF.JAHLA.2.2.61 N2 - Fundamental relations are one of the main tools in connection relation between hyperstructures theory and structures theory. In this paper, we introduce a general fundamental relation on any hypergroup in such a way that all fundamental relations are a special case of this relation. Also, this study considered the notation of the relation on the derivation of $k$-nilpotent groups from any hypergroups. UR - https://jahla.hatef.ac.ir/article_132757.html L1 - https://jahla.hatef.ac.ir/article_132757_093c7be3aa633259973965b246420407.pdf ER -