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Commuting-like elements in prime rings with derivations

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Abstract

Our purpose in this paper is to show that certain elements, defined by commutativity conditions involving derivations over prime rings, are either central elements or they classified the involved derivations. Moreover, we provide examples to show that obtained results can not be extended to semi-prime rings.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through General Research Project Grant Number (G.R.P-288-42).

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Authors and Affiliations

  1. High School of Technology, Ibn Zohr University, P.O.Box S33, Agadir, Morocco

    Omar Ait Zemzami

  2. Department of Mathematics, Faculty of Sciences, King Khalid University, P. O. Box. 9004, Abha, Saudi Arabia

    Khalid Ouarghi

  3. Department of Mathematics, Faculty of Sciences, Moulay Ismail University, P. O. Box. 11201, Meknes, Morocco

    Abdellah Mamouni

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  1. Omar Ait Zemzami
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  2. Khalid Ouarghi
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  3. Abdellah Mamouni
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Correspondence to Omar Ait Zemzami.

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Ait Zemzami, O., Ouarghi, K. & Mamouni, A. Commuting-like elements in prime rings with derivations. Rend. Circ. Mat. Palermo, II. Ser 71, 665–676 (2022). https://doi.org/10.1007/s12215-021-00606-w

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  • DOI: https://doi.org/10.1007/s12215-021-00606-w

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