Abstract
The link between ordered sets and hyperstructures is one of the classical areas of research in the hyperstructure theory. In this paper we focus on $EL$--hyperstructures, i.e. a class of hyperstructures constructed from quasi-ordered semigroups. In our paper we link this concept to the concept of a \emph{composition hyperring}, a recent hyperstructure generalization of the classical notion of a composition ring.
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