• 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

  • Pages
    24
  • From page
    321
  • To page
    344
  • 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
  • Serial Year
    2020
  • Record number

    2605243