Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2996 2023 2023 Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq Abdulrahman Abdulrahman Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq Sundus Taha Kathem In this paper, we introduce the notion of orthogonal semi derivations on Γ-semi rings. Some characterizations of semiprime Γ-semirings are obtained by means of orthogonal semi derivations and obtained necessary and sufficient conditions for two semi derivations to be orthogonal. 2024 2024 22 34 10.54216/PMTCS.040103 https://www.americaspg.com/articleinfo/40/show/2996