A New Study on Generalized Reverse Derivations of Semi-prime Ring

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Published: Mar 26, 2024
Vol. 4 (2024), 5
DOI: https://doi.org/10.28924/ada/ma.4.5

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Muhammad Naeem Abbas
Department of Mathematics, Khawaja Fareed University of Engineering and Information Technology Rahim Yar Khan, Pakistan
Mukhtar Ahmad
Department of Mathematics, Khawaja Fareed University of Engineering and Information Technology Rahim Yar Khan, Pakistan
Abdul Rauf Khan
Department of Mathematics, Ghazi University, D.G.Khan, Pakistan
Ather Qayyum
Institute of Mathematical Sciences, Universiti Malaya, Malaysia
Siti Suzlin Supadi
Institute of Mathematical Sciences, Universiti Malaya, Malaysia

Abstract

The aim of this paper is to extend the ideas from Generalized reverse derivation to Generalized (α, β)-reverse derivations on Semi-prime ring. We prove that, if 0≠d be reverse derivation in R and a Generalized (α, β)-reverse derivation g, then g is β-strong commutative preserved. Next we can prove that R is commutative.

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Vol. 4 (2024)
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