On Sperner \(\Gamma\)-(semi)hypergroups

Authors

  • M. Iranmanesh Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan
  • M. Jafarpour Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan
  • H. Aghabozorgi Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan

DOI:

https://doi.org/10.26713/cma.v8i1.501

Keywords:

Sperner \(\Gamma\)-(semi)hypergroup, complete \(\Gamma\)-(semi)hypergroup, complentable \(\Gamma\)-(semi)hypergroups

Abstract

In this paper first we use the notion of Sperner family and we introduce some classes of \(\Gamma\)-(semi)hypergroups that we call them weak Sperner \(\Gamma\)-(semi)hypergroups and Sperner \(\Gamma\)-(semi)hypergroups. Then we introduce the class of complete \(\Gamma\)-(semi)hypergroups as a generalization of the class of complete semihypergroups and we show that every complete \(\Gamma\)-(semi)hypergroups is a Sperner \(\Gamma\)-(semi)hypergroups. Finally the class of complementable \(\Gamma\)-(semi)hypergroups is investigated.

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References

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Published

30-06-2017
CITATION

How to Cite

Iranmanesh, M., Jafarpour, M., & Aghabozorgi, H. (2017). On Sperner \(\Gamma\)-(semi)hypergroups. Communications in Mathematics and Applications, 8(1), 61–68. https://doi.org/10.26713/cma.v8i1.501

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Section

Research Article