On Commutativity of Prime and Semiprime - Rings with Reverse Derivations
Gamma ring
γ-prime gamma ring
γ-semiprime gamma ring
γ-Lie ideal
k- reverse derivation
generalized k- reverse derivation
Let M be a weak Nobusawa -ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ-homomorphism, anti-γ-homomorphism of M. Also, we give some commutattivity conditions on γ-prime Γ-ring and γ-semiprime Γ-ring .
