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 Z_5, then all hyperproducts xy, with x, y different from the identity, always contain the identity and have size greater than or equal to 3.
On the Hypergroups of Type U on the right of size five, with scalar identity
FRENI, Domenico;
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 xy 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 xy, 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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