An additive mapping with Leibniz rule becomes a derivation. In this paper, we study the notion of derivation on Γ-(semi)hyperrings supported by examples. We introduce the notions of types of Γ-subsemihyperrings, homomorphism, homoderivation, kerd and differential ideal on a Γ-semihyperring with examples. Moreover, the results interconnecting the Γ-subsemihyperrings and kerd are investigated. Later, we study annihilator of Γ-semihyperrings with the demonstration of its properties and some structure preserving theorems are proved.
Nerkar et al. (2026) studied this question.