HYPERMATRIX REPRESENTATIONS OF SINGLE POWER CYCLIC HYPERGROUPS

Authors

  • M. Al Tahan Lebanese International University - Department of Mathematics
  • B. Davvaz Yazd University - Department of Mathematics

Keywords:

cyclic hypergroup, representation

Abstract

Cyclic hypergroups are special type of hypergroups that have some importance for their applications in different fields.  In this paper, we deal with hypermatrix representations of single power cyclic hypergroups.  First, we consider single power cyclic hypergroups with infinite period, define a commutative semihyperring and construct non-trivial hypermatrix representations over our defined semihyperring.  Then we do the same for single power cyclic hypergroups with finite period.  Many properties of these hypermatrix representations are presented.

Author Biography

B. Davvaz, Yazd University - Department of Mathematics

 

 

Cover of n°38 Italian Journal of Pure and Applied Mathematics

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Published

2017-07-31

How to Cite

Al Tahan, M., & Davvaz, B. (2017). HYPERMATRIX REPRESENTATIONS OF SINGLE POWER CYCLIC HYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 37, 679–696. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6764

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 M. Al Tahan, B. Davvaz

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)