Composition in $EL$-hyperstructures

Authors : Michal Novak, Irina Cristea

Pages : 45-58

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Publication Date : 2019-02-01

Article Type : Research Paper

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.
Keywords : Composition ring, composition hyperring, hyperstructure theory, partially ordered semigroup, quasi ordered semigroup