University of KashanMathematics Interdisciplinary Research2538-36395420201201F-Hypergroups of Type U on the Right32134411082010.22052/mir.2020.240327.1248ENMehdiFarshiDepartment of Mathematics, Yazd University, Yazd, I. R. IranBijanDavvazDepartment of Mathematics, Yazd University, Yazd, I. R. IranFatemehDehghanDepartment of Mathematics, Yazd University, Yazd, I. R. IranJournal Article20201018In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity. Also, we will classify F-hypergroups of type U on the right of order 2 or 3 up to an isomorphism. Then, we will study cyclic F-semihypergroups and finally by using regular relations we construct right reversible quotient F-hypergroups.https://mir.kashanu.ac.ir/article_110820_5d8c41fa477b97bf10307693662586f4.pdf