The Hyperrings of Order 3 R . Bayon 14 av . du bosquet 06160 Juan les Pins FRANCE
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چکیده
We first explain the historical and logical relations of hyperstructures introduced by M. Krasner and R. Rota, and generalized by T. Vougiouklis. Then, with our new algorithm based on our previous results on hypergroups and H v-groups of order 2, 3 and 4, we enumerate hyperrings and H v-rings. More precisely, we found 63 hyperrings of order 2, 875 H v-rings of order 2 and 33,277,642 hyperrings of order 3. Finally, in this new context, we study a new connection between groups and hypergroups via the notion of duality.
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Advanced Concepts for Intelligent Vision Systems, 10th International Conference, ACIVS 2008, Juan-les-Pins, France, October 20-24, 2008. Proceedings
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