## $$H_ v$$-groups defined on the same set.(English)Zbl 0855.20057

A hypergroupoid $$(H,)$$ is called weakly associative if $$(xy)z\cap x(yz)\neq\emptyset$$, for every $$x$$, $$y$$ and $$z$$ in $$H$$. If $$xH=H=Hx$$, for every $$x\in H$$, the hypergroupoid is said to be a quasihypergroup. An element $$e\in H$$ is called a scalar unit if $$ex=x=xe$$, for every $$x\in H$$.
In this paper all the weakly associative quasihypergroups having a scalar unit and defined on a set with three elements are determined.

### MSC:

 20N20 Hypergroups
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### References:

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