In this paper we introduce derivations in Krasner hyperrings and derive some basic properties of derivations. We also prove that for a strongly differential hyperring $R$ and for any strongly differential hyperideal $I$ of $R,$ the factor hyperring $R/I$ is a strongly differential hyperring. Further we prove that a map $d: R rightarrow R$ is a derivation of a hyperring $R$ if and only if the in...

In this paper, we introduce the notions of (l, r)-derivations, (r, l)-derivations, and derivations Hilbert algebras investigate some related properties. addition, define two subsets for a derivation d algebra X, Ker d(X) Fix d(X), also take look at their characteristics.