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Investigates derivations in gamma-semihyperrings, revealing properties and connections between structures.
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.
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Nerkar et al. (2026) studied this question.
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