This paper deals with K_H-hypergroups in a pure set-theoretic way. For a given hypergroup (H,◦) , a hypergroup (K,∗) is called a K_H-hypergroup if there is a disjoint partition {A(x):x∈H} of K such that the multiplication on K is given by a∗b=⋃{A(z)/z∈x◦y} for all a,b∈K with a∈A(x) and b∈A(y) . In this paper the number of all K_H-hypergroups of given size n is computed up to similarity and isomorphism where the basic hypergroup H is of size less than or equal to four.
On the number of K_H hypergroups
DE SALVO, Mario
1993-01-01
Abstract
This paper deals with K_H-hypergroups in a pure set-theoretic way. For a given hypergroup (H,◦) , a hypergroup (K,∗) is called a K_H-hypergroup if there is a disjoint partition {A(x):x∈H} of K such that the multiplication on K is given by a∗b=⋃{A(z)/z∈x◦y} for all a,b∈K with a∈A(x) and b∈A(y) . In this paper the number of all K_H-hypergroups of given size n is computed up to similarity and isomorphism where the basic hypergroup H is of size less than or equal to four.File in questo prodotto:
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