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Semihypergroups associated with ternary relations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

    S. Mirvakili

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

    S. M. Anvariyeh & B. Davvaz

Authors
  1. S. Mirvakili
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  2. S. M. Anvariyeh
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  3. B. Davvaz
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Correspondence to B. Davvaz.

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Mirvakili, S., Anvariyeh, S.M. & Davvaz, B. Semihypergroups associated with ternary relations. Afr. Mat. 29, 463–475 (2018). https://doi.org/10.1007/s13370-018-0554-8

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