Abstract
Let N be a left near-ring and let α be a function of N. We introduce the notion of two sided α-n-derivation and prove that a prime zero symmetric near-ring involving α-n-derivations satisfying certain identities is a commutative ring.Also, some examples are given to shown that the 3-primeness condition in our results is not redundant.
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Oukhtite, L., Raji, A. On two sided α-n-derivation in 3-prime near-rings. Acta Math. Hungar. 157, 465–477 (2019). https://doi.org/10.1007/s10474-018-0899-3
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DOI: https://doi.org/10.1007/s10474-018-0899-3