An algorithm to compute the number of Rosenberg hypergroups of order less than 7

Authors

  • H. Aghabozorgi Vali-e-Asr University of Rafsanjan
  • M. Jafarpour Vali-e-Asr University of Rafsanjan
  • M. Dolatabadi Vali-e-Asr University of Rafsanjan
  • I. Cristea University of Nova Gorica - Center for Information Technologies and Applied Mathematics (CITUM)

Keywords:

Rosenberg hypergroup, binary relation, regular reversible hypergroup, Boolean matrix

Abstract

Using some special type of Boolean matrices, named very good matrices, we enumerate the non-isomorphic Rosenberg hypergroups of order less than 7.  Moreover, the regular and reversible Rosenberg hypergroups are identified.  Also the algorithm behind the method is presented.

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Published

2019-07-30

How to Cite

Aghabozorgi, H., Jafarpour, M., Dolatabadi, M., & Cristea, I. (2019). An algorithm to compute the number of Rosenberg hypergroups of order less than 7. Italian Journal of Pure and Applied Mathematics, 42, 262–270. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7240

Issue

Section

Articoli - Forum Editrice

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