DOI: 10.1155/2013/915250
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Abstract: In this paper we discuss the structure of Γ-semihypergroups. We prove some basic results and present several examples of Γ-semihypergroups. Also, we obtain some properties of regular and strongly regular relations on a Γ-semihypergroup and construct a Γ-semigroup from a Γ-semihypergroup by using the notion of fundamental relation. Introductione algebraic hyperstructure notion was introduced in 1934 by the French mathematician Marty [1], at the 8th Congress of Scandinavian Mathematicians. He published some no…

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