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EnglishWe 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.
| Titolo: | On the Hyper groups of Type U on the Right of Size Five, with Scalar Identity |
| Autori: | |
| Data di pubblicazione: | 2011 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11570/1910672 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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