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On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

Author

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  • Hafedh M. Alnoghashi
  • Sabah Naji
  • Nadeem ur Rehman
  • Li Guo

Abstract

Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various theorems are necessary.

Suggested Citation

  • Hafedh M. Alnoghashi & Sabah Naji & Nadeem ur Rehman & Li Guo, 2023. "On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, February.
    • Handle: RePEc:hin:jjmath:8855850
    DOI: 10.1155/2023/8855850
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    Cited by:

    1. Hafedh Alnoghashi & Amal S. Alali & Emine Koc Sogutcu & Nadeem ur Rehman & Faez A. Alqarni, 2023. "Some Classification Theorems and Endomorphisms in New Classes," Mathematics, MDPI, vol. 11(18), pages 1-16, September.

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