Orthogonal Semi derivations on Semi prime Γ-Semi rings
Abdulrahman Hameed Majeed *1, Sundus Taha Kathem 1
1 Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Emails: Sundus.phd.math@gmail.com; Abdulrahman.Hameed2021@gmail.com
Abstract
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.
Keywords: Γ-Semi rings; Γ-Semi derivation; prime Γ-semi rings; Semi prime Γ-semi rings; Orthogonal semi derivation