Abstract
In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1-hypergroups of size 5 and 6 based on the partition induced by the fundamental relation β. Many of these hypergroups can be obtained using the aforesaid hypergroup construction.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference35 articles.
1. Hypercompositional Algebra, Computer Science and Geometry
2. Groupoïdes, demi-hypergroupes et hypergroupes;Koskas;J. Math. Pures Appl.,1970
3. Fundamental relations in hyperstructures;Vougiouklis;Bull. Greek Math. Soc.,1999
4. Prolegomena of Hypergroup Theory;Corsini,1993
5. A Realization of Hyperrings
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