Algebraic hyperstructures are a suitable generalization of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the com- position of two elements is a set. The concept of Gamma-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of Gamma-semigroups. In this paper, we de¯ne the notion of ideal, prime ideal, extension of an ideal in Gamma-semihypergroups then we prove some results in respect and present many examples of Gamma-semihypergroup. Also, we introduce the notions of quotient Gamma-semihypergroup by using a congruence relation, and introduce the notion of right Noetherian Gamma-semihypergroups. Finally, we study some properties of fundamental relations on a special kind of Gamma-semihypergroups.
کلید واژگان :semihypergroup, Gamma-semigroup, Gamma-semihypergroup, hypergroup, fundamental relation.
ارزش ریالی : 600000 ریال
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