(σ, τ)-Derivations on Prime Inverse Gamma Semi-Ring
Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq Emails: Sundus.phd.math@gmail.com; Abdulrahman.Hameed2021@gmail.com
The concept of inverse Γ-semiring M is a generalization of inverse semiring. This paper investigates the concept (σ, τ)- derivation on inverse Γ-semiring and extend a few results of this map on prime inverse Γ- semiring that acts as a homomorphism or as an anti- homomorphism, where σ, τ are automorphisms on M.
Keywords: (σ, τ)- derivation; Inverse Γ-semiring; Jordan ideal; Left ideal; Prime inverse Γ-semiring