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 1, 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.
On the Hyper groups of Type U on the Right of Size Five, with Scalar Identity
DE SALVO, Mario;LO FARO, Giovanni
2011-01-01
Abstract
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 1, 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.File in questo prodotto:
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