On two sided -n-derivation in 3-prime near-rings

Articles > Article · 2019

Authors: Nurcan ARGAÇ, L. Oukhtite, A. Raji

ACTA MATHEMATICA HUNGARICA, Journal Indexed in SCI Expanded, International, 2019, vol 157, pp 465-477

DOI: 10.1007/s10474-018-0899-3

Summary

Let N be a left near-ring and let be a function of N. We introduce the notion of two sided -n-derivation and prove that a prime zero symmetric near-ring involving -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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