Differential Γ-(semi)hyperrings are Γ-(semi)hyperrings equipped with derivation, which is a linear unary function satisfying the Leibniz product rule. We introduce the notions of derivation and weak derivation on Γ-hyperrings and Γ-semihyperrings and obtain some important results related to these notions in a specific way.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 8, pp. 1011–1018, August, 2018.
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Ardekani, L.K., Davvaz, B. Derivations of Gamma (Semi)Hyperrings. Ukr Math J 70, 1165–1175 (2019). https://doi.org/10.1007/s11253-018-1560-6
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DOI: https://doi.org/10.1007/s11253-018-1560-6