Abstract
In this paper, we introduce the notion of derivation on Krasner hyperrings as follows: the function d : R R isa derivation on a Krasner hyperring R if for all , , Ry x ) ( ) ( = ) ( y d x d y x d andd (x y) d (x) y x d ( y). Then, we investigate some fundamental properties of derivation on Krasnerhyperings and prime Krasner hyperrings. Also, we introduce differential Krasner hyperingsand discuss some relatedproperties.
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