Centrally Extended α-Homoderivations on Prime and Semiprime Rings

Mahmoud M. El-Soufi, A. Ghareeb and Carmelo Antonio Finocchiaro

Journal of Mathematics, 2022, vol. 2022, 1-5

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2584177

DOI: 10.1155/2022/2584177

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