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Centralizing n‐Homoderivations of Semiprime Rings

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  • M. S. Tammam El-Sayiad
  • A. Ageeb
  • A. Ghareeb

Abstract

We introduce the notion of n‐homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n‐homoderivation which is centralizing on some nontrivial one‐sided ideal. Under similar hypotheses, we prove commutativity in prime rings.

Suggested Citation

  • M. S. Tammam El-Sayiad & A. Ageeb & A. Ghareeb, 2022. "Centralizing n‐Homoderivations of Semiprime Rings," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1112183
    DOI: 10.1155/2022/1112183
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    References listed on IDEAS

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    1. Mahmoud M. El-Soufi & A. Ghareeb & Carmelo Antonio Finocchiaro, 2022. "Centrally Extended α-Homoderivations on Prime and Semiprime Rings," Journal of Mathematics, Hindawi, vol. 2022, pages 1-5, May.
    2. Mahmoud M. El-Soufi & A. Ghareeb, 2022. "Centrally Extended α‐Homoderivations on Prime and Semiprime Rings," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
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