On the Hyper groups of Type U on the Right of Size Five, with Scalar Identity
We examine hypergroups of type U on the right of size 5 with bilateral scalar identity. We will prove that these hypergroups are isomorphic to the group Z(5), if there exists a hyperproduct x circle y of size I, with x, y not equal to the identity. Moreover, if they are not isomorphic to the group Z(5), then all hyperproducts x circle y, with x, y different from the identity, always contain the identity and have size greater than or equal to 3.
hypergroups type u hypergroups hyperstructures