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On the Hypergroups of Type U on the right of size five, with scalar identity

DE SALVO Mario
•
LO FARO Giovanni
•
FRENI, Domenico
2011
  • journal article

Periodico
JOURNAL OF MULTIPLE VALUED LOGIC & SOFT COMPUTING
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.
Archivio
http://hdl.handle.net/11390/720921
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-79955892238
Diritti
closed access
Soggetti
  • Hypergroup

  • type U hypergroup

  • hyperstructures

Visualizzazioni
6
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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