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Center-like subsets in prime rings with derivations and endomorphisms

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Abstract

Let R be a prime ring. In this paper it’s proved that certain subsets of R defined by conditions involving derivations and endomorphisms coincide with the center of R. In fact, our results generalize and improve several results obtained earlier on center-like subsets in prime rings.

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Authors and Affiliations

  1. MSTI Team, High School of Technology, Ibn Zohr University, Agadir, Morocco

    O. Ait Zemzami

  2. Department of Mathematics, Faculty of Science and Technology, University Sidi Mohamed Ben Abdellah, Fez, Morocco

    L. Oukhtite

  3. Department of Mathematics, Faculty of Mathematics and Science, Brock University, St. Catharines, Ontario, Canada

    H. E. Bell

Authors
  1. O. Ait Zemzami
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  2. L. Oukhtite
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  3. H. E. Bell
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Correspondence to L. Oukhtite.

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Ait Zemzami, O., Oukhtite, L. & Bell, H.E. Center-like subsets in prime rings with derivations and endomorphisms. Aequat. Math. 95, 589–598 (2021). https://doi.org/10.1007/s00010-021-00789-8

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  • DOI: https://doi.org/10.1007/s00010-021-00789-8

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