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On two sided $\alpha$-$n$-derivation in 3-prime near-rings - MaRDI portal

On two sided $\alpha$-$n$-derivation in 3-prime near-rings (Q2416478)

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On two sided $\alpha$-$n$-derivation in 3-prime near-rings
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    On two sided $\alpha$-$n$-derivation in 3-prime near-rings (English)
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    23 May 2019
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    In this article, the authors defined two sided $\alpha$-$n$-derivations on near-rings, and then proved certain commutativity results for $3$-prime near-rings with a two sided $\alpha$-$n$-derivation satisfying certain identities. The results in this paper are simple extensions of a previous paper on two sided $\alpha$-derivations: \textit{M. Samman} et al. [Rocky Mt. J. Math. 46, No. 4, 1379--1393 (2016; Zbl 1353.16018)].
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    prime near-ring
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    derivation
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    two sided $\alpha$-$n$-derivation
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    commutativity
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