There are several kinds of hyperrings, for example, Krasner hyperrings, multiplicative hyperring, general hyperrings and $H_v$-rings. In a multiplicative hyperring, the multiplication is a hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf Keywords:} multiplicative hyperring, derivation, differential hyperring.
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