Generalized Derivations via σ -Prime Rings

Abdu Madugu and Moharram A. Khan
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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.

International Journal of Research and Scientific Innovation, 2023, vol. 10, issue 11, 58-63

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.

Date: 2023
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