S/o Sh. Trilok Chand Goyal, Associate Professor in Mathematics, Vaish College, Bhiwani
Online Published on 29 August, 2023.
To study the derivations which satisfy certain differential identities on the general derivation of the prime ring. If a derivation exists as d: R→R where F (a, b) = F(a) b + a d(b)holds for all a, b ∈ R. Here in this paper, we have proved that V ⊆ Z (R) or d = 0, for all x ∈ I. Then, d(x) = λ [x, a], for all a ∈ Z. or x ∈ I.
Generalized derivative, Abelian group, Prime ring, Derivation, Commutative
