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Centralizing n-Homoderivations of Semiprime Rings

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Listed:
  • M. S. Tammam El-Sayiad
  • A. Ageeb
  • A. Ghareeb
  • Francesca Tartarone

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 & Francesca Tartarone, 2022. "Centralizing n-Homoderivations of Semiprime Rings," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:1112183
    DOI: 10.1155/2022/1112183
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