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Communications in Algebra Volume 38, 2010 - Issue 10
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Original Articles

Binary Relations on Ternary Semihypergroups

B. Davvaz Department of Mathematics, Yazd University, Yazd, IranCorrespondence[email protected]
&
V. Leoreanu-Fotea Faculty of Mathematics, “Al. I. Cuza” University of Iasi, Iasi, Romania
Pages 3621-3636 | Received 09 Apr 2009, Published online: 24 Nov 2010
 
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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.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors are highly grateful to referees for their valuable comments and suggestions for improving the article.

Notes

Communicated by V. A. Artamonov.

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