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Afrika Matematika

, Volume 29, Issue 3–4, pp 463–475 | Cite as

Semihypergroups associated with ternary relations

  • S. Mirvakili
  • S. M. Anvariyeh
  • B. Davvaz
Article
  • 41 Downloads

Abstract

Davvaz and Leoreanu-Fotea (Commun Algebra 38(10):3621–3636, 2010) studied binary relations on ternary semihypergroups. A ternary relation or triadic relation is a relation in which the number of places in the relation is three. Now, in this paper, instead of binary relations we consider ternary relations and instead of ternary semihypergroups we consider ordinary semihypergroups. Then, we study ternary relations on semihypergroups. In particular, we discuss some properties of compatible ternary relations on them.

Keywords

Semihypergroup Hypergroup Ternary relation 

Mathematics Subject Classification

20N20 

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsPayame Noor UniversityTehranIran
  2. 2.Department of MathematicsYazd UniversityYazdIran

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