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Binary Relations on Ternary Semihypergroups
Authors:B. Davvaz  V. Leoreanu-Fotea
Affiliation:1. Department of Mathematics , Yazd University , Yazd, Iran davvaz@yazduni.ac.ir;3. Faculty of Mathematics , “Al. I. Cuza” University of Iasi , Iasi, Romania
Abstract:Ternary semihypergroups are algebraic structures with one associative hyperoperation. The main propose of this article is to study binary relations on ternary semihypergroups and study some basic properties of compatible relations on them. In particular, we analyze the ternary hypergroup associated with a binary relation.
Keywords:Binary relation  Compatible relation  Hypergroup  Semihypergroup  Ternary semihypergroup
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