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Isomorphism classes of the hypergroups of type on the right of size five

โœ Scribed by Mario De Salvo; Dario Fasino; Domenico Freni; Giovanni Lo Faro

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
707 KB
Volume
58
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

By means of a blend of theoretical arguments and computer algebra techniques, we prove that the number of isomorphism classes of hypergroups of type U on the right of order five, having a scalar (bilateral) identity, is 14 751. In this way, we complete the classification of hypergroups of type U on the right of order five, started in our preceding papers [M. De Salvo, D. Freni, G. Lo Faro, A new family of hypergroups and hypergroups of type U on the right of size five, Far East J. Math. Sci. 26(2) (2007) 393-418; M. De Salvo, D. Freni, G. Lo Faro, A new family of hypergroups and hypergroups of type U on the right of size five Part two, Mathematicki Vesnik 60 (2008) 23-45; M

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