مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Information Journal Paper

Title

SEMI-DERIVATION ON PRIME HYPERRINGS

Pages

  18-29

Abstract

 Abstract. In this paper, we study the notion of semi-derivation in Krasner Hyperring and present some examples of them. We introduce the concept of generalized semi-derivation in Krasner hyperring and present some examples. Then, we derive some properties of semi-derivation on Krasner Hyperring which proves the commutativity of a Krasner Hyperring. Later we prove if f is a non-zero semi-derivation on Krasner Hyperring R, then f 2 6= 0 on R. Finally, for a generalized semi-derivation F on R, if F(u ◦ v) = 0, for all u, v ∈ I, then R is commutative.

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