On Generalized (Sigma,Tau)-Derivations in 3-Prime Near-Rings

Emine Koç
2020 Tamkang Journal of Mathematics  
Let N be a 3-prime left near-ring with multiplicative center Z, f be a generalized (σ,τ)- derivation on N with associated (σ,τ)-derivation d and I be a semigroup ideal of N. We proved that N must be a commutative ring if f(I)⊂Z or f act as a homomorphism or f act as an anti-homomorphism.
doi:10.5556/j.tkjm.51.2020.1829 fatcat:g47mb327vzdpro3vm2zz6ome5q