F-Hypergroups of Type U on the Right

نویسندگان
Davvaz, Bijan ID 1
Dehghan, Fatemeh ID 2
Farshi, Mehdi ID 3

1 Department of Mathematics, Yazd University, Yazd, I. R. Iran

2 Department of Mathematics, Yazd University, Yazd, I. R. Iran

3 Department of Mathematics, Yazd University, Yazd, I. R. Iran

doi
10.22052/mir.2020.240327.1248
چکیده

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.

کلیدواژه‌ها
F-hypergroup of type U on the right, regular relation, right reversible, cyclic F-semihypergroup