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EL-hyperstructures associated to n-ary relations

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Abstract

This contribution deals with n-ary relations and hyperstructure theory. There exists a way of creating semihypergroups and hypergroups from (partially) quasi-ordered (semi)groups known as Ends lemma construction. In this paper, we use this method to introduce a new class of (semi)hypergroup from a given (semi)group endowed with a preordering n-ary relation as a generalization of EL-hyperstructures. Then, we study some basic properties and important elements belonging to this class and the essential differences between this new class and the earlier one (i.e. EL-hyperstructures) are also investigated.

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Acknowledgments

The authors are highly grateful to the referees for their valuable comments and suggestions for improving the paper.

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Authors and Affiliations

  1. Department of Mathematics, Yazd University, Yazd, Iran

    S. H. Ghazavi & S. M. Anvariyeh

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  1. S. H. Ghazavi
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  2. S. M. Anvariyeh
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Correspondence to S. M. Anvariyeh.

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The authors declare that there are no conflicts of interest in this paper.

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Communicated by V. Loia.

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Ghazavi, S.H., Anvariyeh, S.M. EL-hyperstructures associated to n-ary relations. Soft Comput 21, 5841–5850 (2017). https://doi.org/10.1007/s00500-016-2165-3

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  • DOI: https://doi.org/10.1007/s00500-016-2165-3

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