Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2508 2023 2023 Sudan University of Science and Technology, Faculty of Science, Khartoum, Sudan Othman Al Al-Basheer The main purpose of this paper is to study some results concerning the generalized derivation D defined on semi-prime ring R, we obtain a derivation d which commuting and 2-commuting on R. Also, we present many examples to clarify the validity of our work. 2023 2023 30 34 10.54216/PMTCS.020203 https://www.americaspg.com/articleinfo/40/show/2508