An Algorithm To Compute The Number Of Rosenberg Hypergroups Of Order Less Than 7

Hossien Aghabozorgi,Morteza Jafarpour,M Dolatabadi,Irina Cristea

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS（2019）

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摘要

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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关键词

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

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