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On the Hypergroups of Type U on the Right of Size Five with Scalar Identity?
Mario De Salvo, Domenico Freni and Giovanni Lo Faro

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 xy of size 1, with x, y not equal to the identity. Moreover, if they are not isomorphic to the group Z5, then all hyperproducts xy, with x, y different from the identity, always contain the identity and have size greater than or equal to 3.

Keywords: Hypergroups, type U hypergroups, hyperstructures

Mathematics Subject Classification(2000): 20N20, 05A99

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