Title of article :
F-Hypergroups of Type U on the Right
Author/Authors :
Farshi, Mehdi Dehghan, Fatemeh Department of Mathematics - Yazd University, Yazd, I. R. Iran , Davvaz, Bijan Dehghan, Fatemeh Department of Mathematics - Yazd University, Yazd, I. R. Iran
Abstract :
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.
Keywords :
F-hypergroup of type U on the right , regular relation , right reversible , cyclic F-semihypergroup
Journal title :
Mathematics Interdisciplinary Research
