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Generalized Derivations via σ -Prime Rings

Author

Listed:
  • Abdu Madugu

    (Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Umaru Musa Yar`adua University, Katsina, Nigeria.)

  • Moharram A. Khan

    (Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Umaru Musa Yar`adua University, Katsina, Nigeria.)

Abstract

Let R be a 2- torsion free σ – prime ring with involution σ,U a nonzero σ – Lie ideal, I a nonzero σ – ideal of S , R an appropriate subset of R and G a generalized derivation associated with a nonzero derivation δ of R commuting with σ . It is shown that the commutativity of a σ – prime ring R admitting a generalized derivation G satisfying one of the conditions: and, 2020 Mathematics subject Classification: 16W10, 16W25, 16U80.

Suggested Citation

  • Abdu Madugu & Moharram A. Khan, 2023. "Generalized Derivations via σ -Prime Rings," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 10(11), pages 58-63, November.
    • Handle: RePEc:bjc:journl:v:10:y:2023:i:11:p:58-63
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