University of Kashan Mathematics Interdisciplinary Research 2538-3639 5 4 2020 12 01 F-Hypergroups of Type U on the Right 321 344 110820 10.22052/mir.2020.240327.1248 EN Mehdi Farshi Department of Mathematics, Yazd University, Yazd, I. R. Iran Bijan Davvaz Department of Mathematics, Yazd University, Yazd, I. R. Iran Fatemeh Dehghan Department of Mathematics, Yazd University, Yazd, I. R. Iran Journal Article 2020 10 18 In 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