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Centrally Extended α-Homoderivations on Prime and Semiprime Rings

Author

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  • Mahmoud M. El-Soufi
  • A. Ghareeb
  • Carmelo Antonio Finocchiaro

Abstract

We present a new type of mappings called centrally extended α-homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies Hx+y−Hx−Hy∈Zℜ and Hxy−HxHy−Hxαy−αxHy∈Zℜ for any x,y∈ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings. Also, we study their effect on the center of a ring, and we give several outcomes on the commutativity of the ring.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:2584177
    DOI: 10.1155/2022/2584177
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