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. Iran0000-0003-1941-5372FatemehDehghanDepartment 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