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On multiplicative derivations in 3-prime near-rings

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Abstract

In this paper, we prove that a 3-prime near ring \(\mathcal {N}\) involving multiplicative derivation \(d:\mathcal {N} \longrightarrow \mathcal {N}\) satisfying certain identities is a commutative ring. Also, an example is given to show that the necessity of the 3-primeness hypothesis imposed on the various theorems cannot be marginalized.

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Acknowledgements

I wish to express my deep gratitude and very indebtedness to the referee for very fruitful discussions, constructive comments, remarks and suggestions on the manuscript.

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  1. LMACS Laboratory, Faculty of Sciences and Technology of Beni Mellal, Sultan Moulay Slimane University, P.O. Box 523, 23000, Beni Mellal, Morocco

    A. Raji

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  1. A. Raji
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Correspondence to A. Raji.

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Raji, A. On multiplicative derivations in 3-prime near-rings. Beitr Algebra Geom 65, 343–357 (2024). https://doi.org/10.1007/s13366-023-00692-0

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  • DOI: https://doi.org/10.1007/s13366-023-00692-0

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