Add to ORKGWe partition, enumerate and classify Hv-groups of order 2 (20) and 3 (1.026.462) as well as abelian Hv-groups of order 4 (8.028.299.905), thus generalizing Migliorato and Nordo results on hypergroups, and Choi and Chung results on minimal Hv-groups. Then, after introducing the Marty-Moufang hypergroups that algebraically generalize Marty’s hypergroups and Moufang’s loops, we enumerate those of order 2 (10) and 3 (96.058). Finally we interpret our results via the posets theory and their circle inclusion representation in specific cases. 1 Introduction an
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
In this paper, we study categorical properties of the category of abelian hypergroups that lead to t...
AbstractWe first recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4....
AbstractWe first recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4....
We rst recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4. Then we c...
AbstractIn a hypergroup, especially in the generalization called Hv-group, several convolutions can ...
The authors study the role of the cyclic subhypergroups and subsemihypergroups in the theory of hype...
The purpose of the present paper is to investigate extension problem in the category of commutative ...
In this paper the authors studi the hypergroups, such that are exactly four pairs of elements, which...
Abstract: We consider the hypergroup (G/ρ, ◦) which is defined from an abelian group G where xρy ⇔ x...
A few results are given concerning hypergroups of type C on the right, then a new class of hypergrou...
Hypergroups can be subdivided into two large classes: those whose heart coincide with the entire hyp...
Hyperstructures have applications in mathematics and in other sciences, which range from biology, ha...
AbstractThe class of n∗-complete hypergroups is introduced. Several properties and examples are foun...
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
In this paper, we study categorical properties of the category of abelian hypergroups that lead to t...
AbstractWe first recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4....
AbstractWe first recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4....
We rst recall our results on enumeration of hypergroups and Hv-groups of order 2, 3 and 4. Then we c...
AbstractIn a hypergroup, especially in the generalization called Hv-group, several convolutions can ...
The authors study the role of the cyclic subhypergroups and subsemihypergroups in the theory of hype...
The purpose of the present paper is to investigate extension problem in the category of commutative ...
In this paper the authors studi the hypergroups, such that are exactly four pairs of elements, which...
Abstract: We consider the hypergroup (G/ρ, ◦) which is defined from an abelian group G where xρy ⇔ x...
A few results are given concerning hypergroups of type C on the right, then a new class of hypergrou...
Hypergroups can be subdivided into two large classes: those whose heart coincide with the entire hyp...
Hyperstructures have applications in mathematics and in other sciences, which range from biology, ha...
AbstractThe class of n∗-complete hypergroups is introduced. Several properties and examples are foun...
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
This thesis surveys recent results on hypergroups as defined by Frédéric Marty in [3] and [4] and th...
In this paper, we study categorical properties of the category of abelian hypergroups that lead to t...